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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-27 16:51:28 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-27 16:51:28 +0000
commit940b4d1848e8c70ab7642901a68594e8016caffc (patch)
treeeb72f344ee6c3d9b80a7ecc079ea79e9fba8676d /basegfx/source/polygon/b2dpolygontools.cxx
parentInitial commit. (diff)
downloadlibreoffice-upstream.tar.xz
libreoffice-upstream.zip
Adding upstream version 1:7.0.4.upstream/1%7.0.4upstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to '')
-rw-r--r--basegfx/source/polygon/b2dpolygontools.cxx3578
1 files changed, 3578 insertions, 0 deletions
diff --git a/basegfx/source/polygon/b2dpolygontools.cxx b/basegfx/source/polygon/b2dpolygontools.cxx
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+++ b/basegfx/source/polygon/b2dpolygontools.cxx
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+/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
+/*
+ * This file is part of the LibreOffice project.
+ *
+ * This Source Code Form is subject to the terms of the Mozilla Public
+ * License, v. 2.0. If a copy of the MPL was not distributed with this
+ * file, You can obtain one at http://mozilla.org/MPL/2.0/.
+ *
+ * This file incorporates work covered by the following license notice:
+ *
+ * Licensed to the Apache Software Foundation (ASF) under one or more
+ * contributor license agreements. See the NOTICE file distributed
+ * with this work for additional information regarding copyright
+ * ownership. The ASF licenses this file to you under the Apache
+ * License, Version 2.0 (the "License"); you may not use this file
+ * except in compliance with the License. You may obtain a copy of
+ * the License at http://www.apache.org/licenses/LICENSE-2.0 .
+ */
+#include <numeric>
+#include <algorithm>
+
+#include <basegfx/numeric/ftools.hxx>
+#include <basegfx/polygon/b2dpolygontools.hxx>
+#include <osl/diagnose.h>
+#include <rtl/math.hxx>
+#include <sal/log.hxx>
+#include <basegfx/polygon/b2dpolygon.hxx>
+#include <basegfx/polygon/b2dpolypolygon.hxx>
+#include <basegfx/range/b2drange.hxx>
+#include <basegfx/curve/b2dcubicbezier.hxx>
+#include <basegfx/point/b3dpoint.hxx>
+#include <basegfx/matrix/b3dhommatrix.hxx>
+#include <basegfx/matrix/b2dhommatrix.hxx>
+#include <basegfx/curve/b2dbeziertools.hxx>
+#include <basegfx/matrix/b2dhommatrixtools.hxx>
+
+// #i37443#
+#define ANGLE_BOUND_START_VALUE (2.25)
+#define ANGLE_BOUND_MINIMUM_VALUE (0.1)
+#define STEPSPERQUARTER (3)
+
+namespace basegfx::utils
+{
+ void openWithGeometryChange(B2DPolygon& rCandidate)
+ {
+ if(!rCandidate.isClosed())
+ return;
+
+ if(rCandidate.count())
+ {
+ rCandidate.append(rCandidate.getB2DPoint(0));
+
+ if(rCandidate.areControlPointsUsed() && rCandidate.isPrevControlPointUsed(0))
+ {
+ rCandidate.setPrevControlPoint(rCandidate.count() - 1, rCandidate.getPrevControlPoint(0));
+ rCandidate.resetPrevControlPoint(0);
+ }
+ }
+
+ rCandidate.setClosed(false);
+ }
+
+ void closeWithGeometryChange(B2DPolygon& rCandidate)
+ {
+ if(rCandidate.isClosed())
+ return;
+
+ while(rCandidate.count() > 1 && rCandidate.getB2DPoint(0) == rCandidate.getB2DPoint(rCandidate.count() - 1))
+ {
+ if(rCandidate.areControlPointsUsed() && rCandidate.isPrevControlPointUsed(rCandidate.count() - 1))
+ {
+ rCandidate.setPrevControlPoint(0, rCandidate.getPrevControlPoint(rCandidate.count() - 1));
+ }
+
+ rCandidate.remove(rCandidate.count() - 1);
+ }
+
+ rCandidate.setClosed(true);
+ }
+
+ void checkClosed(B2DPolygon& rCandidate)
+ {
+ // #i80172# Removed unnecessary assertion
+ // OSL_ENSURE(!rCandidate.isClosed(), "checkClosed: already closed (!)");
+
+ if(rCandidate.count() > 1 && rCandidate.getB2DPoint(0) == rCandidate.getB2DPoint(rCandidate.count() - 1))
+ {
+ closeWithGeometryChange(rCandidate);
+ }
+ }
+
+ // Get successor and predecessor indices. Returning the same index means there
+ // is none. Same for successor.
+ sal_uInt32 getIndexOfPredecessor(sal_uInt32 nIndex, const B2DPolygon& rCandidate)
+ {
+ OSL_ENSURE(nIndex < rCandidate.count(), "getIndexOfPredecessor: Access to polygon out of range (!)");
+
+ if(nIndex)
+ {
+ return nIndex - 1;
+ }
+ else if(rCandidate.count())
+ {
+ return rCandidate.count() - 1;
+ }
+ else
+ {
+ return nIndex;
+ }
+ }
+
+ sal_uInt32 getIndexOfSuccessor(sal_uInt32 nIndex, const B2DPolygon& rCandidate)
+ {
+ OSL_ENSURE(nIndex < rCandidate.count(), "getIndexOfPredecessor: Access to polygon out of range (!)");
+
+ if(nIndex + 1 < rCandidate.count())
+ {
+ return nIndex + 1;
+ }
+ else if(nIndex + 1 == rCandidate.count())
+ {
+ return 0;
+ }
+ else
+ {
+ return nIndex;
+ }
+ }
+
+ B2VectorOrientation getOrientation(const B2DPolygon& rCandidate)
+ {
+ B2VectorOrientation eRetval(B2VectorOrientation::Neutral);
+
+ if(rCandidate.count() > 2 || rCandidate.areControlPointsUsed())
+ {
+ const double fSignedArea(getSignedArea(rCandidate));
+
+ if(fTools::equalZero(fSignedArea))
+ {
+ // B2VectorOrientation::Neutral, already set
+ }
+ if(fSignedArea > 0.0)
+ {
+ eRetval = B2VectorOrientation::Positive;
+ }
+ else if(fSignedArea < 0.0)
+ {
+ eRetval = B2VectorOrientation::Negative;
+ }
+ }
+
+ return eRetval;
+ }
+
+ B2VectorContinuity getContinuityInPoint(const B2DPolygon& rCandidate, sal_uInt32 nIndex)
+ {
+ return rCandidate.getContinuityInPoint(nIndex);
+ }
+
+ B2DPolygon adaptiveSubdivideByDistance(const B2DPolygon& rCandidate, double fDistanceBound)
+ {
+ if(rCandidate.areControlPointsUsed())
+ {
+ const sal_uInt32 nPointCount(rCandidate.count());
+ B2DPolygon aRetval;
+
+ if(nPointCount)
+ {
+ // prepare edge-oriented loop
+ const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+ B2DCubicBezier aBezier;
+ aBezier.setStartPoint(rCandidate.getB2DPoint(0));
+
+ // perf: try to avoid too many realloctions by guessing the result's pointcount
+ aRetval.reserve(nPointCount*4);
+
+ // add start point (always)
+ aRetval.append(aBezier.getStartPoint());
+
+ for(sal_uInt32 a(0); a < nEdgeCount; a++)
+ {
+ // get next and control points
+ const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+ aBezier.setEndPoint(rCandidate.getB2DPoint(nNextIndex));
+ aBezier.setControlPointA(rCandidate.getNextControlPoint(a));
+ aBezier.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex));
+ aBezier.testAndSolveTrivialBezier();
+
+ if(aBezier.isBezier())
+ {
+ // add curved edge and generate DistanceBound
+ double fBound(0.0);
+
+ if(fDistanceBound == 0.0)
+ {
+ // If not set, use B2DCubicBezier functionality to guess a rough value
+ const double fRoughLength((aBezier.getEdgeLength() + aBezier.getControlPolygonLength()) / 2.0);
+
+ // take 1/100th of the rough curve length
+ fBound = fRoughLength * 0.01;
+ }
+ else
+ {
+ // use given bound value
+ fBound = fDistanceBound;
+ }
+
+ // make sure bound value is not too small. The base units are 1/100th mm, thus
+ // just make sure it's not smaller then 1/100th of that
+ if(fBound < 0.01)
+ {
+ fBound = 0.01;
+ }
+
+ // call adaptive subdivide which adds edges to aRetval accordingly
+ aBezier.adaptiveSubdivideByDistance(aRetval, fBound);
+ }
+ else
+ {
+ // add non-curved edge
+ aRetval.append(aBezier.getEndPoint());
+ }
+
+ // prepare next step
+ aBezier.setStartPoint(aBezier.getEndPoint());
+ }
+
+ if(rCandidate.isClosed())
+ {
+ // set closed flag and correct last point (which is added double now).
+ closeWithGeometryChange(aRetval);
+ }
+ }
+
+ return aRetval;
+ }
+ else
+ {
+ return rCandidate;
+ }
+ }
+
+ B2DPolygon adaptiveSubdivideByAngle(const B2DPolygon& rCandidate, double fAngleBound)
+ {
+ if(rCandidate.areControlPointsUsed())
+ {
+ const sal_uInt32 nPointCount(rCandidate.count());
+ B2DPolygon aRetval;
+
+ if(nPointCount)
+ {
+ // prepare edge-oriented loop
+ const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+ B2DCubicBezier aBezier;
+ aBezier.setStartPoint(rCandidate.getB2DPoint(0));
+
+ // perf: try to avoid too many realloctions by guessing the result's pointcount
+ aRetval.reserve(nPointCount*4);
+
+ // add start point (always)
+ aRetval.append(aBezier.getStartPoint());
+
+ // #i37443# prepare convenient AngleBound if none was given
+ if(fAngleBound == 0.0)
+ {
+ fAngleBound = ANGLE_BOUND_START_VALUE;
+ }
+ else if(fTools::less(fAngleBound, ANGLE_BOUND_MINIMUM_VALUE))
+ {
+ fAngleBound = 0.1;
+ }
+
+ for(sal_uInt32 a(0); a < nEdgeCount; a++)
+ {
+ // get next and control points
+ const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+ aBezier.setEndPoint(rCandidate.getB2DPoint(nNextIndex));
+ aBezier.setControlPointA(rCandidate.getNextControlPoint(a));
+ aBezier.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex));
+ aBezier.testAndSolveTrivialBezier();
+
+ if(aBezier.isBezier())
+ {
+ // call adaptive subdivide
+ aBezier.adaptiveSubdivideByAngle(aRetval, fAngleBound);
+ }
+ else
+ {
+ // add non-curved edge
+ aRetval.append(aBezier.getEndPoint());
+ }
+
+ // prepare next step
+ aBezier.setStartPoint(aBezier.getEndPoint());
+ }
+
+ if(rCandidate.isClosed())
+ {
+ // set closed flag and correct last point (which is added double now).
+ closeWithGeometryChange(aRetval);
+ }
+ }
+
+ return aRetval;
+ }
+ else
+ {
+ return rCandidate;
+ }
+ }
+
+ bool isInside(const B2DPolygon& rCandidate, const B2DPoint& rPoint, bool bWithBorder)
+ {
+ const B2DPolygon aCandidate(rCandidate.areControlPointsUsed() ? rCandidate.getDefaultAdaptiveSubdivision() : rCandidate);
+
+ if(bWithBorder && isPointOnPolygon(aCandidate, rPoint))
+ {
+ return true;
+ }
+ else
+ {
+ bool bRetval(false);
+ const sal_uInt32 nPointCount(aCandidate.count());
+
+ if(nPointCount)
+ {
+ B2DPoint aCurrentPoint(aCandidate.getB2DPoint(nPointCount - 1));
+
+ for(sal_uInt32 a(0); a < nPointCount; a++)
+ {
+ const B2DPoint aPreviousPoint(aCurrentPoint);
+ aCurrentPoint = aCandidate.getB2DPoint(a);
+
+ // cross-over in Y? tdf#130150 use full precision, no need for epsilon
+ const bool bCompYA(aPreviousPoint.getY() > rPoint.getY());
+ const bool bCompYB(aCurrentPoint.getY() > rPoint.getY());
+
+ if(bCompYA != bCompYB)
+ {
+ // cross-over in X? tdf#130150 use full precision, no need for epsilon
+ const bool bCompXA(aPreviousPoint.getX() > rPoint.getX());
+ const bool bCompXB(aCurrentPoint.getX() > rPoint.getX());
+
+ if(bCompXA == bCompXB)
+ {
+ if(bCompXA)
+ {
+ bRetval = !bRetval;
+ }
+ }
+ else
+ {
+ const double fCompare(
+ aCurrentPoint.getX() - (aCurrentPoint.getY() - rPoint.getY()) *
+ (aPreviousPoint.getX() - aCurrentPoint.getX()) /
+ (aPreviousPoint.getY() - aCurrentPoint.getY()));
+
+ // tdf#130150 use full precision, no need for epsilon
+ if(fCompare > rPoint.getX())
+ {
+ bRetval = !bRetval;
+ }
+ }
+ }
+ }
+ }
+
+ return bRetval;
+ }
+ }
+
+ bool isInside(const B2DPolygon& rCandidate, const B2DPolygon& rPolygon, bool bWithBorder)
+ {
+ const B2DPolygon aCandidate(rCandidate.areControlPointsUsed() ? rCandidate.getDefaultAdaptiveSubdivision() : rCandidate);
+ const B2DPolygon aPolygon(rPolygon.areControlPointsUsed() ? rPolygon.getDefaultAdaptiveSubdivision() : rPolygon);
+ const sal_uInt32 nPointCount(aPolygon.count());
+
+ for(sal_uInt32 a(0); a < nPointCount; a++)
+ {
+ const B2DPoint aTestPoint(aPolygon.getB2DPoint(a));
+
+ if(!isInside(aCandidate, aTestPoint, bWithBorder))
+ {
+ return false;
+ }
+ }
+
+ return true;
+ }
+
+ B2DRange getRange(const B2DPolygon& rCandidate)
+ {
+ // changed to use internally buffered version at B2DPolygon
+ return rCandidate.getB2DRange();
+ }
+
+ double getSignedArea(const B2DPolygon& rCandidate)
+ {
+ const B2DPolygon aCandidate(rCandidate.areControlPointsUsed() ? rCandidate.getDefaultAdaptiveSubdivision() : rCandidate);
+ double fRetval(0.0);
+ const sal_uInt32 nPointCount(aCandidate.count());
+
+ if(nPointCount > 2)
+ {
+ for(sal_uInt32 a(0); a < nPointCount; a++)
+ {
+ const B2DPoint aPreviousPoint(aCandidate.getB2DPoint((!a) ? nPointCount - 1 : a - 1));
+ const B2DPoint aCurrentPoint(aCandidate.getB2DPoint(a));
+
+ fRetval += aPreviousPoint.getX() * aCurrentPoint.getY();
+ fRetval -= aPreviousPoint.getY() * aCurrentPoint.getX();
+ }
+
+ // correct to zero if small enough. Also test the quadratic
+ // of the result since the precision is near quadratic due to
+ // the algorithm
+ if(fTools::equalZero(fRetval) || fTools::equalZero(fRetval * fRetval))
+ {
+ fRetval = 0.0;
+ }
+ }
+
+ return fRetval;
+ }
+
+ double getArea(const B2DPolygon& rCandidate)
+ {
+ double fRetval(0.0);
+
+ if(rCandidate.count() > 2 || rCandidate.areControlPointsUsed())
+ {
+ fRetval = getSignedArea(rCandidate);
+ const double fZero(0.0);
+
+ if(fTools::less(fRetval, fZero))
+ {
+ fRetval = -fRetval;
+ }
+ }
+
+ return fRetval;
+ }
+
+ double getEdgeLength(const B2DPolygon& rCandidate, sal_uInt32 nIndex)
+ {
+ const sal_uInt32 nPointCount(rCandidate.count());
+ OSL_ENSURE(nIndex < nPointCount, "getEdgeLength: Access to polygon out of range (!)");
+ double fRetval(0.0);
+
+ if(nPointCount)
+ {
+ const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount);
+
+ if(rCandidate.areControlPointsUsed())
+ {
+ B2DCubicBezier aEdge;
+
+ aEdge.setStartPoint(rCandidate.getB2DPoint(nIndex));
+ aEdge.setControlPointA(rCandidate.getNextControlPoint(nIndex));
+ aEdge.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex));
+ aEdge.setEndPoint(rCandidate.getB2DPoint(nNextIndex));
+
+ fRetval = aEdge.getLength();
+ }
+ else
+ {
+ const B2DPoint aCurrent(rCandidate.getB2DPoint(nIndex));
+ const B2DPoint aNext(rCandidate.getB2DPoint(nNextIndex));
+
+ fRetval = B2DVector(aNext - aCurrent).getLength();
+ }
+ }
+
+ return fRetval;
+ }
+
+ double getLength(const B2DPolygon& rCandidate)
+ {
+ double fRetval(0.0);
+ const sal_uInt32 nPointCount(rCandidate.count());
+
+ if(nPointCount)
+ {
+ const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+
+ if(rCandidate.areControlPointsUsed())
+ {
+ B2DCubicBezier aEdge;
+ aEdge.setStartPoint(rCandidate.getB2DPoint(0));
+
+ for(sal_uInt32 a(0); a < nEdgeCount; a++)
+ {
+ const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+ aEdge.setControlPointA(rCandidate.getNextControlPoint(a));
+ aEdge.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex));
+ aEdge.setEndPoint(rCandidate.getB2DPoint(nNextIndex));
+
+ fRetval += aEdge.getLength();
+ aEdge.setStartPoint(aEdge.getEndPoint());
+ }
+ }
+ else
+ {
+ B2DPoint aCurrent(rCandidate.getB2DPoint(0));
+
+ for(sal_uInt32 a(0); a < nEdgeCount; a++)
+ {
+ const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+ const B2DPoint aNext(rCandidate.getB2DPoint(nNextIndex));
+
+ fRetval += B2DVector(aNext - aCurrent).getLength();
+ aCurrent = aNext;
+ }
+ }
+ }
+
+ return fRetval;
+ }
+
+ B2DPoint getPositionAbsolute(const B2DPolygon& rCandidate, double fDistance, double fLength)
+ {
+ B2DPoint aRetval;
+ const sal_uInt32 nPointCount(rCandidate.count());
+
+ if( nPointCount == 1 )
+ {
+ // only one point (i.e. no edge) - simply take that point
+ aRetval = rCandidate.getB2DPoint(0);
+ }
+ else if(nPointCount > 1)
+ {
+ const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+ sal_uInt32 nIndex(0);
+ bool bIndexDone(false);
+
+ // get length if not given
+ if(fTools::equalZero(fLength))
+ {
+ fLength = getLength(rCandidate);
+ }
+
+ if(fTools::less(fDistance, 0.0))
+ {
+ // handle fDistance < 0.0
+ if(rCandidate.isClosed())
+ {
+ // if fDistance < 0.0 increment with multiple of fLength
+ sal_uInt32 nCount(sal_uInt32(-fDistance / fLength));
+ fDistance += double(nCount + 1) * fLength;
+ }
+ else
+ {
+ // crop to polygon start
+ fDistance = 0.0;
+ bIndexDone = true;
+ }
+ }
+ else if(fTools::moreOrEqual(fDistance, fLength))
+ {
+ // handle fDistance >= fLength
+ if(rCandidate.isClosed())
+ {
+ // if fDistance >= fLength decrement with multiple of fLength
+ sal_uInt32 nCount(sal_uInt32(fDistance / fLength));
+ fDistance -= static_cast<double>(nCount) * fLength;
+ }
+ else
+ {
+ // crop to polygon end
+ fDistance = 0.0;
+ nIndex = nEdgeCount;
+ bIndexDone = true;
+ }
+ }
+
+ // look for correct index. fDistance is now [0.0 .. fLength[
+ double fEdgeLength(getEdgeLength(rCandidate, nIndex));
+
+ while(!bIndexDone)
+ {
+ // edge found must be on the half-open range
+ // [0,fEdgeLength).
+ // Note that in theory, we cannot move beyond
+ // the last polygon point, since fDistance>=fLength
+ // is checked above. Unfortunately, with floating-
+ // point calculations, this case might happen.
+ // Handled by nIndex check below
+ if (nIndex+1 < nEdgeCount && fTools::moreOrEqual(fDistance, fEdgeLength))
+ {
+ // go to next edge
+ fDistance -= fEdgeLength;
+ fEdgeLength = getEdgeLength(rCandidate, ++nIndex);
+ }
+ else
+ {
+ // it's on this edge, stop
+ bIndexDone = true;
+ }
+ }
+
+ // get the point using nIndex
+ aRetval = rCandidate.getB2DPoint(nIndex);
+
+ // if fDistance != 0.0, move that length on the edge. The edge
+ // length is in fEdgeLength.
+ if(!fTools::equalZero(fDistance))
+ {
+ if(fTools::moreOrEqual(fDistance, fEdgeLength))
+ {
+ // end point of chosen edge
+ const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount);
+ aRetval = rCandidate.getB2DPoint(nNextIndex);
+ }
+ else if(fTools::equalZero(fDistance))
+ {
+ // start point of chosen edge
+ }
+ else
+ {
+ // inside edge
+ const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount);
+ const B2DPoint aNextPoint(rCandidate.getB2DPoint(nNextIndex));
+ bool bDone(false);
+
+ // add calculated average value to the return value
+ if(rCandidate.areControlPointsUsed())
+ {
+ // get as bezier segment
+ const B2DCubicBezier aBezierSegment(
+ aRetval, rCandidate.getNextControlPoint(nIndex),
+ rCandidate.getPrevControlPoint(nNextIndex), aNextPoint);
+
+ if(aBezierSegment.isBezier())
+ {
+ // use B2DCubicBezierHelper to bridge the non-linear gap between
+ // length and bezier distances
+ const B2DCubicBezierHelper aBezierSegmentHelper(aBezierSegment);
+ const double fBezierDistance(aBezierSegmentHelper.distanceToRelative(fDistance));
+
+ aRetval = aBezierSegment.interpolatePoint(fBezierDistance);
+ bDone = true;
+ }
+ }
+
+ if(!bDone)
+ {
+ const double fRelativeInEdge(fDistance / fEdgeLength);
+ aRetval = interpolate(aRetval, aNextPoint, fRelativeInEdge);
+ }
+ }
+ }
+ }
+
+ return aRetval;
+ }
+
+ B2DPoint getPositionRelative(const B2DPolygon& rCandidate, double fDistance, double fLength)
+ {
+ // get length if not given
+ if(fTools::equalZero(fLength))
+ {
+ fLength = getLength(rCandidate);
+ }
+
+ // multiply fDistance with real length to get absolute position and
+ // use getPositionAbsolute
+ return getPositionAbsolute(rCandidate, fDistance * fLength, fLength);
+ }
+
+ B2DPolygon getSnippetAbsolute(const B2DPolygon& rCandidate, double fFrom, double fTo, double fLength)
+ {
+ const sal_uInt32 nPointCount(rCandidate.count());
+
+ if(nPointCount)
+ {
+ // get length if not given
+ if(fTools::equalZero(fLength))
+ {
+ fLength = getLength(rCandidate);
+ }
+
+ // test and correct fFrom
+ if(fTools::less(fFrom, 0.0))
+ {
+ fFrom = 0.0;
+ }
+
+ // test and correct fTo
+ if(fTools::more(fTo, fLength))
+ {
+ fTo = fLength;
+ }
+
+ // test and correct relationship of fFrom, fTo
+ if(fTools::more(fFrom, fTo))
+ {
+ fFrom = fTo = (fFrom + fTo) / 2.0;
+ }
+
+ if(fTools::equalZero(fFrom) && fTools::equal(fTo, fLength))
+ {
+ // no change, result is the whole polygon
+ return rCandidate;
+ }
+ else
+ {
+ B2DPolygon aRetval;
+ const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+ double fPositionOfStart(0.0);
+ bool bStartDone(false);
+ bool bEndDone(false);
+
+ for(sal_uInt32 a(0); !(bStartDone && bEndDone) && a < nEdgeCount; a++)
+ {
+ const double fEdgeLength(getEdgeLength(rCandidate, a));
+
+ if(!bStartDone)
+ {
+ if(fTools::equalZero(fFrom))
+ {
+ aRetval.append(rCandidate.getB2DPoint(a));
+
+ if(rCandidate.areControlPointsUsed())
+ {
+ aRetval.setNextControlPoint(aRetval.count() - 1, rCandidate.getNextControlPoint(a));
+ }
+
+ bStartDone = true;
+ }
+ else if(fTools::moreOrEqual(fFrom, fPositionOfStart) && fTools::less(fFrom, fPositionOfStart + fEdgeLength))
+ {
+ // calculate and add start point
+ if(fTools::equalZero(fEdgeLength))
+ {
+ aRetval.append(rCandidate.getB2DPoint(a));
+
+ if(rCandidate.areControlPointsUsed())
+ {
+ aRetval.setNextControlPoint(aRetval.count() - 1, rCandidate.getNextControlPoint(a));
+ }
+ }
+ else
+ {
+ const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+ const B2DPoint aStart(rCandidate.getB2DPoint(a));
+ const B2DPoint aEnd(rCandidate.getB2DPoint(nNextIndex));
+ bool bDone(false);
+
+ if(rCandidate.areControlPointsUsed())
+ {
+ const B2DCubicBezier aBezierSegment(
+ aStart, rCandidate.getNextControlPoint(a),
+ rCandidate.getPrevControlPoint(nNextIndex), aEnd);
+
+ if(aBezierSegment.isBezier())
+ {
+ // use B2DCubicBezierHelper to bridge the non-linear gap between
+ // length and bezier distances
+ const B2DCubicBezierHelper aBezierSegmentHelper(aBezierSegment);
+ const double fBezierDistance(aBezierSegmentHelper.distanceToRelative(fFrom - fPositionOfStart));
+ B2DCubicBezier aRight;
+
+ aBezierSegment.split(fBezierDistance, nullptr, &aRight);
+ aRetval.append(aRight.getStartPoint());
+ aRetval.setNextControlPoint(aRetval.count() - 1, aRight.getControlPointA());
+ bDone = true;
+ }
+ }
+
+ if(!bDone)
+ {
+ const double fRelValue((fFrom - fPositionOfStart) / fEdgeLength);
+ aRetval.append(interpolate(aStart, aEnd, fRelValue));
+ }
+ }
+
+ bStartDone = true;
+
+ // if same point, end is done, too.
+ if(rtl::math::approxEqual(fFrom, fTo))
+ {
+ bEndDone = true;
+ }
+ }
+ }
+
+ if(!bEndDone && fTools::moreOrEqual(fTo, fPositionOfStart) && fTools::less(fTo, fPositionOfStart + fEdgeLength))
+ {
+ // calculate and add end point
+ if(fTools::equalZero(fEdgeLength))
+ {
+ const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+ aRetval.append(rCandidate.getB2DPoint(nNextIndex));
+
+ if(rCandidate.areControlPointsUsed())
+ {
+ aRetval.setPrevControlPoint(aRetval.count() - 1, rCandidate.getPrevControlPoint(nNextIndex));
+ }
+ }
+ else
+ {
+ const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+ const B2DPoint aStart(rCandidate.getB2DPoint(a));
+ const B2DPoint aEnd(rCandidate.getB2DPoint(nNextIndex));
+ bool bDone(false);
+
+ if(rCandidate.areControlPointsUsed())
+ {
+ const B2DCubicBezier aBezierSegment(
+ aStart, rCandidate.getNextControlPoint(a),
+ rCandidate.getPrevControlPoint(nNextIndex), aEnd);
+
+ if(aBezierSegment.isBezier())
+ {
+ // use B2DCubicBezierHelper to bridge the non-linear gap between
+ // length and bezier distances
+ const B2DCubicBezierHelper aBezierSegmentHelper(aBezierSegment);
+ const double fBezierDistance(aBezierSegmentHelper.distanceToRelative(fTo - fPositionOfStart));
+ B2DCubicBezier aLeft;
+
+ aBezierSegment.split(fBezierDistance, &aLeft, nullptr);
+ aRetval.append(aLeft.getEndPoint());
+ aRetval.setPrevControlPoint(aRetval.count() - 1, aLeft.getControlPointB());
+ bDone = true;
+ }
+ }
+
+ if(!bDone)
+ {
+ const double fRelValue((fTo - fPositionOfStart) / fEdgeLength);
+ aRetval.append(interpolate(aStart, aEnd, fRelValue));
+ }
+ }
+
+ bEndDone = true;
+ }
+
+ if(!bEndDone)
+ {
+ if(bStartDone)
+ {
+ // add segments end point
+ const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+ aRetval.append(rCandidate.getB2DPoint(nNextIndex));
+
+ if(rCandidate.areControlPointsUsed())
+ {
+ aRetval.setPrevControlPoint(aRetval.count() - 1, rCandidate.getPrevControlPoint(nNextIndex));
+ aRetval.setNextControlPoint(aRetval.count() - 1, rCandidate.getNextControlPoint(nNextIndex));
+ }
+ }
+
+ // increment fPositionOfStart
+ fPositionOfStart += fEdgeLength;
+ }
+ }
+ return aRetval;
+ }
+ }
+ else
+ {
+ return rCandidate;
+ }
+ }
+
+ CutFlagValue findCut(
+ const B2DPoint& rEdge1Start, const B2DVector& rEdge1Delta,
+ const B2DPoint& rEdge2Start, const B2DVector& rEdge2Delta,
+ CutFlagValue aCutFlags,
+ double* pCut1, double* pCut2)
+ {
+ CutFlagValue aRetval(CutFlagValue::NONE);
+ double fCut1(0.0);
+ double fCut2(0.0);
+ bool bFinished(!static_cast<bool>(aCutFlags & CutFlagValue::ALL));
+
+ // test for same points?
+ if(!bFinished
+ && (aCutFlags & (CutFlagValue::START1|CutFlagValue::END1))
+ && (aCutFlags & (CutFlagValue::START2|CutFlagValue::END2)))
+ {
+ // same startpoint?
+ if((aCutFlags & (CutFlagValue::START1|CutFlagValue::START2)) == (CutFlagValue::START1|CutFlagValue::START2))
+ {
+ if(rEdge1Start.equal(rEdge2Start))
+ {
+ bFinished = true;
+ aRetval = (CutFlagValue::START1|CutFlagValue::START2);
+ }
+ }
+
+ // same endpoint?
+ if(!bFinished && (aCutFlags & (CutFlagValue::END1|CutFlagValue::END2)) == (CutFlagValue::END1|CutFlagValue::END2))
+ {
+ const B2DPoint aEnd1(rEdge1Start + rEdge1Delta);
+ const B2DPoint aEnd2(rEdge2Start + rEdge2Delta);
+
+ if(aEnd1.equal(aEnd2))
+ {
+ bFinished = true;
+ aRetval = (CutFlagValue::END1|CutFlagValue::END2);
+ fCut1 = fCut2 = 1.0;
+ }
+ }
+
+ // startpoint1 == endpoint2?
+ if(!bFinished && (aCutFlags & (CutFlagValue::START1|CutFlagValue::END2)) == (CutFlagValue::START1|CutFlagValue::END2))
+ {
+ const B2DPoint aEnd2(rEdge2Start + rEdge2Delta);
+
+ if(rEdge1Start.equal(aEnd2))
+ {
+ bFinished = true;
+ aRetval = (CutFlagValue::START1|CutFlagValue::END2);
+ fCut1 = 0.0;
+ fCut2 = 1.0;
+ }
+ }
+
+ // startpoint2 == endpoint1?
+ if(!bFinished&& (aCutFlags & (CutFlagValue::START2|CutFlagValue::END1)) == (CutFlagValue::START2|CutFlagValue::END1))
+ {
+ const B2DPoint aEnd1(rEdge1Start + rEdge1Delta);
+
+ if(rEdge2Start.equal(aEnd1))
+ {
+ bFinished = true;
+ aRetval = (CutFlagValue::START2|CutFlagValue::END1);
+ fCut1 = 1.0;
+ fCut2 = 0.0;
+ }
+ }
+ }
+
+ if(!bFinished && (aCutFlags & CutFlagValue::LINE))
+ {
+ if(aCutFlags & CutFlagValue::START1)
+ {
+ // start1 on line 2 ?
+ if(isPointOnEdge(rEdge1Start, rEdge2Start, rEdge2Delta, &fCut2))
+ {
+ bFinished = true;
+ aRetval = (CutFlagValue::LINE|CutFlagValue::START1);
+ }
+ }
+
+ if(!bFinished && (aCutFlags & CutFlagValue::START2))
+ {
+ // start2 on line 1 ?
+ if(isPointOnEdge(rEdge2Start, rEdge1Start, rEdge1Delta, &fCut1))
+ {
+ bFinished = true;
+ aRetval = (CutFlagValue::LINE|CutFlagValue::START2);
+ }
+ }
+
+ if(!bFinished && (aCutFlags & CutFlagValue::END1))
+ {
+ // end1 on line 2 ?
+ const B2DPoint aEnd1(rEdge1Start + rEdge1Delta);
+
+ if(isPointOnEdge(aEnd1, rEdge2Start, rEdge2Delta, &fCut2))
+ {
+ bFinished = true;
+ aRetval = (CutFlagValue::LINE|CutFlagValue::END1);
+ }
+ }
+
+ if(!bFinished && (aCutFlags & CutFlagValue::END2))
+ {
+ // end2 on line 1 ?
+ const B2DPoint aEnd2(rEdge2Start + rEdge2Delta);
+
+ if(isPointOnEdge(aEnd2, rEdge1Start, rEdge1Delta, &fCut1))
+ {
+ bFinished = true;
+ aRetval = (CutFlagValue::LINE|CutFlagValue::END2);
+ }
+ }
+
+ if(!bFinished)
+ {
+ // cut in line1, line2 ?
+ fCut1 = (rEdge1Delta.getX() * rEdge2Delta.getY()) - (rEdge1Delta.getY() * rEdge2Delta.getX());
+
+ if(!fTools::equalZero(fCut1))
+ {
+ fCut1 = (rEdge2Delta.getY() * (rEdge2Start.getX() - rEdge1Start.getX())
+ + rEdge2Delta.getX() * (rEdge1Start.getY() - rEdge2Start.getY())) / fCut1;
+
+ const double fZero(0.0);
+ const double fOne(1.0);
+
+ // inside parameter range edge1 AND fCut2 is calculable
+ if(fTools::more(fCut1, fZero) && fTools::less(fCut1, fOne)
+ && (!fTools::equalZero(rEdge2Delta.getX()) || !fTools::equalZero(rEdge2Delta.getY())))
+ {
+ // take the more precise calculation of the two possible
+ if(fabs(rEdge2Delta.getX()) > fabs(rEdge2Delta.getY()))
+ {
+ fCut2 = (rEdge1Start.getX() + fCut1
+ * rEdge1Delta.getX() - rEdge2Start.getX()) / rEdge2Delta.getX();
+ }
+ else
+ {
+ fCut2 = (rEdge1Start.getY() + fCut1
+ * rEdge1Delta.getY() - rEdge2Start.getY()) / rEdge2Delta.getY();
+ }
+
+ // inside parameter range edge2, too
+ if(fTools::more(fCut2, fZero) && fTools::less(fCut2, fOne))
+ {
+ aRetval = CutFlagValue::LINE;
+ }
+ }
+ }
+ }
+ }
+
+ // copy values if wanted
+ if(pCut1)
+ {
+ *pCut1 = fCut1;
+ }
+
+ if(pCut2)
+ {
+ *pCut2 = fCut2;
+ }
+
+ return aRetval;
+ }
+
+ bool isPointOnEdge(
+ const B2DPoint& rPoint,
+ const B2DPoint& rEdgeStart,
+ const B2DVector& rEdgeDelta,
+ double* pCut)
+ {
+ bool bDeltaXIsZero(fTools::equalZero(rEdgeDelta.getX()));
+ bool bDeltaYIsZero(fTools::equalZero(rEdgeDelta.getY()));
+ const double fZero(0.0);
+ const double fOne(1.0);
+
+ if(bDeltaXIsZero && bDeltaYIsZero)
+ {
+ // no line, just a point
+ return false;
+ }
+ else if(bDeltaXIsZero)
+ {
+ // vertical line
+ if(fTools::equal(rPoint.getX(), rEdgeStart.getX()))
+ {
+ double fValue = (rPoint.getY() - rEdgeStart.getY()) / rEdgeDelta.getY();
+
+ if(fTools::more(fValue, fZero) && fTools::less(fValue, fOne))
+ {
+ if(pCut)
+ {
+ *pCut = fValue;
+ }
+
+ return true;
+ }
+ }
+ }
+ else if(bDeltaYIsZero)
+ {
+ // horizontal line
+ if(fTools::equal(rPoint.getY(), rEdgeStart.getY()))
+ {
+ double fValue = (rPoint.getX() - rEdgeStart.getX()) / rEdgeDelta.getX();
+
+ if(fTools::more(fValue, fZero) && fTools::less(fValue, fOne))
+ {
+ if(pCut)
+ {
+ *pCut = fValue;
+ }
+
+ return true;
+ }
+ }
+ }
+ else
+ {
+ // any angle line
+ double fTOne = (rPoint.getX() - rEdgeStart.getX()) / rEdgeDelta.getX();
+ double fTTwo = (rPoint.getY() - rEdgeStart.getY()) / rEdgeDelta.getY();
+
+ if(fTools::equal(fTOne, fTTwo))
+ {
+ // same parameter representation, point is on line. Take
+ // middle value for better results
+ double fValue = (fTOne + fTTwo) / 2.0;
+
+ if(fTools::more(fValue, fZero) && fTools::less(fValue, fOne))
+ {
+ // point is inside line bounds, too
+ if(pCut)
+ {
+ *pCut = fValue;
+ }
+
+ return true;
+ }
+ }
+ }
+
+ return false;
+ }
+
+ void applyLineDashing(
+ const B2DPolygon& rCandidate,
+ const std::vector<double>& rDotDashArray,
+ B2DPolyPolygon* pLineTarget,
+ B2DPolyPolygon* pGapTarget,
+ double fDotDashLength)
+ {
+ // clear targets in any case
+ if(pLineTarget)
+ {
+ pLineTarget->clear();
+ }
+
+ if(pGapTarget)
+ {
+ pGapTarget->clear();
+ }
+
+ // provide callbacks as lambdas
+ auto aLineCallback(
+ nullptr == pLineTarget
+ ? std::function<void(const basegfx::B2DPolygon&)>()
+ : [&pLineTarget](const basegfx::B2DPolygon& rSnippet){ pLineTarget->append(rSnippet); });
+ auto aGapCallback(
+ nullptr == pGapTarget
+ ? std::function<void(const basegfx::B2DPolygon&)>()
+ : [&pGapTarget](const basegfx::B2DPolygon& rSnippet){ pGapTarget->append(rSnippet); });
+
+ // call version that uses callbacks
+ applyLineDashing(
+ rCandidate,
+ rDotDashArray,
+ aLineCallback,
+ aGapCallback,
+ fDotDashLength);
+ }
+
+ static void implHandleSnippet(
+ const B2DPolygon& rSnippet,
+ std::function<void(const basegfx::B2DPolygon& rSnippet)>& rTargetCallback,
+ B2DPolygon& rFirst,
+ B2DPolygon& rLast)
+ {
+ if(rSnippet.isClosed())
+ {
+ if(!rFirst.count())
+ {
+ rFirst = rSnippet;
+ }
+ else
+ {
+ if(rLast.count())
+ {
+ rTargetCallback(rLast);
+ }
+
+ rLast = rSnippet;
+ }
+ }
+ else
+ {
+ rTargetCallback(rSnippet);
+ }
+ }
+
+ static void implHandleFirstLast(
+ std::function<void(const basegfx::B2DPolygon& rSnippet)>& rTargetCallback,
+ B2DPolygon& rFirst,
+ B2DPolygon& rLast)
+ {
+ if(rFirst.count() && rLast.count()
+ && rFirst.getB2DPoint(0).equal(rLast.getB2DPoint(rLast.count() - 1)))
+ {
+ // start of first and end of last are the same -> merge them
+ rLast.append(rFirst);
+ rLast.removeDoublePoints();
+ rFirst.clear();
+ }
+
+ if(rLast.count())
+ {
+ rTargetCallback(rLast);
+ }
+
+ if(rFirst.count())
+ {
+ rTargetCallback(rFirst);
+ }
+ }
+
+ void applyLineDashing(
+ const B2DPolygon& rCandidate,
+ const std::vector<double>& rDotDashArray,
+ std::function<void(const basegfx::B2DPolygon& rSnippet)> aLineTargetCallback,
+ std::function<void(const basegfx::B2DPolygon& rSnippet)> aGapTargetCallback,
+ double fDotDashLength)
+ {
+ const sal_uInt32 nPointCount(rCandidate.count());
+ const sal_uInt32 nDotDashCount(rDotDashArray.size());
+
+ if(fTools::lessOrEqual(fDotDashLength, 0.0))
+ {
+ fDotDashLength = std::accumulate(rDotDashArray.begin(), rDotDashArray.end(), 0.0);
+ }
+
+ if(fTools::lessOrEqual(fDotDashLength, 0.0) || (!aLineTargetCallback && !aGapTargetCallback) || !nPointCount)
+ {
+ // parameters make no sense, just add source to targets
+ if(aLineTargetCallback)
+ {
+ aLineTargetCallback(rCandidate);
+ }
+
+ if(aGapTargetCallback)
+ {
+ aGapTargetCallback(rCandidate);
+ }
+
+ return;
+ }
+
+ // precalculate maximal acceptable length of candidate polygon assuming
+ // we want to create a maximum of fNumberOfAllowedSnippets. For
+ // fNumberOfAllowedSnippets use ca. 65536, double due to line & gap.
+ static double fNumberOfAllowedSnippets(65535.0 * 2.0);
+ const double fAllowedLength((fNumberOfAllowedSnippets * fDotDashLength) / double(rDotDashArray.size()));
+ const double fCandidateLength(basegfx::utils::getLength(rCandidate));
+ std::vector<double> aDotDashArray(rDotDashArray);
+
+ if(fCandidateLength > fAllowedLength)
+ {
+ // we would produce more than fNumberOfAllowedSnippets, so
+ // adapt aDotDashArray to exactly produce assumed number. Also
+ // assert this to let the caller know about it.
+ // If this asserts: Please think about checking your DotDashArray
+ // before calling this function or evtl. use the callback version
+ // to *not* produce that much of data. Even then, you may still
+ // think about producing too much runtime (!)
+ assert(true && "applyLineDashing: potentially too expensive to do the requested dismantle - please consider stretched LineDash pattern (!)");
+
+ // calculate correcting factor, apply to aDotDashArray and fDotDashLength
+ // to enlarge these as needed
+ const double fFactor(fCandidateLength / fAllowedLength);
+ std::for_each(aDotDashArray.begin(), aDotDashArray.end(), [&fFactor](double &f){ f *= fFactor; });
+ fDotDashLength *= fFactor;
+ }
+
+ // prepare current edge's start
+ B2DCubicBezier aCurrentEdge;
+ const bool bIsClosed(rCandidate.isClosed());
+ const sal_uInt32 nEdgeCount(bIsClosed ? nPointCount : nPointCount - 1);
+ aCurrentEdge.setStartPoint(rCandidate.getB2DPoint(0));
+
+ // prepare DotDashArray iteration and the line/gap switching bool
+ sal_uInt32 nDotDashIndex(0);
+ bool bIsLine(true);
+ double fDotDashMovingLength(aDotDashArray[0]);
+ B2DPolygon aSnippet;
+
+ // remember 1st and last snippets to try to merge after execution
+ // is complete and hand to callback
+ B2DPolygon aFirstLine, aLastLine;
+ B2DPolygon aFirstGap, aLastGap;
+
+ // iterate over all edges
+ for(sal_uInt32 a(0); a < nEdgeCount; a++)
+ {
+ // update current edge (fill in C1, C2 and end point)
+ double fLastDotDashMovingLength(0.0);
+ const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+ aCurrentEdge.setControlPointA(rCandidate.getNextControlPoint(a));
+ aCurrentEdge.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex));
+ aCurrentEdge.setEndPoint(rCandidate.getB2DPoint(nNextIndex));
+
+ // check if we have a trivial bezier segment -> possible fallback to edge
+ aCurrentEdge.testAndSolveTrivialBezier();
+
+ if(aCurrentEdge.isBezier())
+ {
+ // bezier segment
+ const B2DCubicBezierHelper aCubicBezierHelper(aCurrentEdge);
+ const double fEdgeLength(aCubicBezierHelper.getLength());
+
+ if(!fTools::equalZero(fEdgeLength))
+ {
+ while(fTools::less(fDotDashMovingLength, fEdgeLength))
+ {
+ // new split is inside edge, create and append snippet [fLastDotDashMovingLength, fDotDashMovingLength]
+ const bool bHandleLine(bIsLine && aLineTargetCallback);
+ const bool bHandleGap(!bIsLine && aGapTargetCallback);
+
+ if(bHandleLine || bHandleGap)
+ {
+ const double fBezierSplitStart(aCubicBezierHelper.distanceToRelative(fLastDotDashMovingLength));
+ const double fBezierSplitEnd(aCubicBezierHelper.distanceToRelative(fDotDashMovingLength));
+ B2DCubicBezier aBezierSnippet(aCurrentEdge.snippet(fBezierSplitStart, fBezierSplitEnd));
+
+ if(!aSnippet.count())
+ {
+ aSnippet.append(aBezierSnippet.getStartPoint());
+ }
+
+ aSnippet.appendBezierSegment(aBezierSnippet.getControlPointA(), aBezierSnippet.getControlPointB(), aBezierSnippet.getEndPoint());
+
+ if(bHandleLine)
+ {
+ implHandleSnippet(aSnippet, aLineTargetCallback, aFirstLine, aLastLine);
+ }
+
+ if(bHandleGap)
+ {
+ implHandleSnippet(aSnippet, aGapTargetCallback, aFirstGap, aLastGap);
+ }
+
+ aSnippet.clear();
+ }
+
+ // prepare next DotDashArray step and flip line/gap flag
+ fLastDotDashMovingLength = fDotDashMovingLength;
+ fDotDashMovingLength += aDotDashArray[(++nDotDashIndex) % nDotDashCount];
+ bIsLine = !bIsLine;
+ }
+
+ // append closing snippet [fLastDotDashMovingLength, fEdgeLength]
+ const bool bHandleLine(bIsLine && aLineTargetCallback);
+ const bool bHandleGap(!bIsLine && aGapTargetCallback);
+
+ if(bHandleLine || bHandleGap)
+ {
+ B2DCubicBezier aRight;
+ const double fBezierSplit(aCubicBezierHelper.distanceToRelative(fLastDotDashMovingLength));
+
+ aCurrentEdge.split(fBezierSplit, nullptr, &aRight);
+
+ if(!aSnippet.count())
+ {
+ aSnippet.append(aRight.getStartPoint());
+ }
+
+ aSnippet.appendBezierSegment(aRight.getControlPointA(), aRight.getControlPointB(), aRight.getEndPoint());
+ }
+
+ // prepare move to next edge
+ fDotDashMovingLength -= fEdgeLength;
+ }
+ }
+ else
+ {
+ // simple edge
+ const double fEdgeLength(aCurrentEdge.getEdgeLength());
+
+ if(!fTools::equalZero(fEdgeLength))
+ {
+ while(fTools::less(fDotDashMovingLength, fEdgeLength))
+ {
+ // new split is inside edge, create and append snippet [fLastDotDashMovingLength, fDotDashMovingLength]
+ const bool bHandleLine(bIsLine && aLineTargetCallback);
+ const bool bHandleGap(!bIsLine && aGapTargetCallback);
+
+ if(bHandleLine || bHandleGap)
+ {
+ if(!aSnippet.count())
+ {
+ aSnippet.append(interpolate(aCurrentEdge.getStartPoint(), aCurrentEdge.getEndPoint(), fLastDotDashMovingLength / fEdgeLength));
+ }
+
+ aSnippet.append(interpolate(aCurrentEdge.getStartPoint(), aCurrentEdge.getEndPoint(), fDotDashMovingLength / fEdgeLength));
+
+ if(bHandleLine)
+ {
+ implHandleSnippet(aSnippet, aLineTargetCallback, aFirstLine, aLastLine);
+ }
+
+ if(bHandleGap)
+ {
+ implHandleSnippet(aSnippet, aGapTargetCallback, aFirstGap, aLastGap);
+ }
+
+ aSnippet.clear();
+ }
+
+ // prepare next DotDashArray step and flip line/gap flag
+ fLastDotDashMovingLength = fDotDashMovingLength;
+ fDotDashMovingLength += aDotDashArray[(++nDotDashIndex) % nDotDashCount];
+ bIsLine = !bIsLine;
+ }
+
+ // append snippet [fLastDotDashMovingLength, fEdgeLength]
+ const bool bHandleLine(bIsLine && aLineTargetCallback);
+ const bool bHandleGap(!bIsLine && aGapTargetCallback);
+
+ if(bHandleLine || bHandleGap)
+ {
+ if(!aSnippet.count())
+ {
+ aSnippet.append(interpolate(aCurrentEdge.getStartPoint(), aCurrentEdge.getEndPoint(), fLastDotDashMovingLength / fEdgeLength));
+ }
+
+ aSnippet.append(aCurrentEdge.getEndPoint());
+ }
+
+ // prepare move to next edge
+ fDotDashMovingLength -= fEdgeLength;
+ }
+ }
+
+ // prepare next edge step (end point gets new start point)
+ aCurrentEdge.setStartPoint(aCurrentEdge.getEndPoint());
+ }
+
+ // append last intermediate results (if exists)
+ if(aSnippet.count())
+ {
+ const bool bHandleLine(bIsLine && aLineTargetCallback);
+ const bool bHandleGap(!bIsLine && aGapTargetCallback);
+
+ if(bHandleLine)
+ {
+ implHandleSnippet(aSnippet, aLineTargetCallback, aFirstLine, aLastLine);
+ }
+
+ if(bHandleGap)
+ {
+ implHandleSnippet(aSnippet, aGapTargetCallback, aFirstGap, aLastGap);
+ }
+ }
+
+ if(bIsClosed && aLineTargetCallback)
+ {
+ implHandleFirstLast(aLineTargetCallback, aFirstLine, aLastLine);
+ }
+
+ if(bIsClosed && aGapTargetCallback)
+ {
+ implHandleFirstLast(aGapTargetCallback, aFirstGap, aLastGap);
+ }
+ }
+
+ // test if point is inside epsilon-range around an edge defined
+ // by the two given points. Can be used for HitTesting. The epsilon-range
+ // is defined to be the rectangle centered to the given edge, using height
+ // 2 x fDistance, and the circle around both points with radius fDistance.
+ bool isInEpsilonRange(const B2DPoint& rEdgeStart, const B2DPoint& rEdgeEnd, const B2DPoint& rTestPosition, double fDistance)
+ {
+ // build edge vector
+ const B2DVector aEdge(rEdgeEnd - rEdgeStart);
+ bool bDoDistanceTestStart(false);
+ bool bDoDistanceTestEnd(false);
+
+ if(aEdge.equalZero())
+ {
+ // no edge, just a point. Do one of the distance tests.
+ bDoDistanceTestStart = true;
+ }
+ else
+ {
+ // edge has a length. Create perpendicular vector.
+ const B2DVector aPerpend(getPerpendicular(aEdge));
+ double fCut(
+ (aPerpend.getY() * (rTestPosition.getX() - rEdgeStart.getX())
+ + aPerpend.getX() * (rEdgeStart.getY() - rTestPosition.getY())) /
+ (aEdge.getX() * aEdge.getX() + aEdge.getY() * aEdge.getY()));
+ const double fZero(0.0);
+ const double fOne(1.0);
+
+ if(fTools::less(fCut, fZero))
+ {
+ // left of rEdgeStart
+ bDoDistanceTestStart = true;
+ }
+ else if(fTools::more(fCut, fOne))
+ {
+ // right of rEdgeEnd
+ bDoDistanceTestEnd = true;
+ }
+ else
+ {
+ // inside line [0.0 .. 1.0]
+ const B2DPoint aCutPoint(interpolate(rEdgeStart, rEdgeEnd, fCut));
+ const B2DVector aDelta(rTestPosition - aCutPoint);
+ const double fDistanceSquare(aDelta.scalar(aDelta));
+
+ return fDistanceSquare <= fDistance * fDistance;
+ }
+ }
+
+ if(bDoDistanceTestStart)
+ {
+ const B2DVector aDelta(rTestPosition - rEdgeStart);
+ const double fDistanceSquare(aDelta.scalar(aDelta));
+
+ if(fDistanceSquare <= fDistance * fDistance)
+ {
+ return true;
+ }
+ }
+ else if(bDoDistanceTestEnd)
+ {
+ const B2DVector aDelta(rTestPosition - rEdgeEnd);
+ const double fDistanceSquare(aDelta.scalar(aDelta));
+
+ if(fDistanceSquare <= fDistance * fDistance)
+ {
+ return true;
+ }
+ }
+
+ return false;
+ }
+
+ // test if point is inside epsilon-range around the given Polygon. Can be used
+ // for HitTesting. The epsilon-range is defined to be the tube around the polygon
+ // with distance fDistance and rounded edges (start and end point).
+ bool isInEpsilonRange(const B2DPolygon& rCandidate, const B2DPoint& rTestPosition, double fDistance)
+ {
+ // force to non-bezier polygon
+ const B2DPolygon& aCandidate(rCandidate.getDefaultAdaptiveSubdivision());
+ const sal_uInt32 nPointCount(aCandidate.count());
+
+ if(nPointCount)
+ {
+ const sal_uInt32 nEdgeCount(aCandidate.isClosed() ? nPointCount : nPointCount - 1);
+ B2DPoint aCurrent(aCandidate.getB2DPoint(0));
+
+ if(nEdgeCount)
+ {
+ // edges
+ for(sal_uInt32 a(0); a < nEdgeCount; a++)
+ {
+ const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+ const B2DPoint aNext(aCandidate.getB2DPoint(nNextIndex));
+
+ if(isInEpsilonRange(aCurrent, aNext, rTestPosition, fDistance))
+ {
+ return true;
+ }
+
+ // prepare next step
+ aCurrent = aNext;
+ }
+ }
+ else
+ {
+ // no edges, but points -> not closed. Check single point. Just
+ // use isInEpsilonRange with twice the same point, it handles those well
+ if(isInEpsilonRange(aCurrent, aCurrent, rTestPosition, fDistance))
+ {
+ return true;
+ }
+ }
+ }
+
+ return false;
+ }
+
+ // Calculates distance of curve point to its control point for a Bézier curve, that
+ // approximates a unit circle arc. fAngle is the center angle of the circle arc. The
+ // constrain 0<=fAngle<=pi/2 must not be violated to give a useful accuracy. For details
+ // and alternatives read document "ApproxCircleInfo.odt", attachment of bug tdf#121425.
+ static double impDistanceBezierPointToControl(double fAngle)
+ {
+ SAL_WARN_IF(fAngle < 0 || fAngle > F_PI2,"basegfx","angle not suitable for approximate circle");
+ if (0 <= fAngle && fAngle <= F_PI2)
+ {
+ return 4.0/3.0 * ( tan(fAngle/4.0));
+ }
+ else
+ return 0;
+ }
+
+ B2DPolygon createPolygonFromRect( const B2DRectangle& rRect, double fRadiusX, double fRadiusY )
+ {
+ const double fZero(0.0);
+ const double fOne(1.0);
+
+ fRadiusX = std::clamp(fRadiusX, 0.0, 1.0);
+ fRadiusY = std::clamp(fRadiusY, 0.0, 1.0);
+
+ if(rtl::math::approxEqual(fZero, fRadiusX) || rtl::math::approxEqual(fZero, fRadiusY))
+ {
+ // at least in one direction no radius, use rectangle.
+ // Do not use createPolygonFromRect() here since original
+ // creator (historical reasons) still creates a start point at the
+ // bottom center, so do the same here to get the same line patterns.
+ // Due to this the order of points is different, too.
+ const B2DPoint aBottomCenter(rRect.getCenter().getX(), rRect.getMaxY());
+ B2DPolygon aPolygon {
+ aBottomCenter,
+ { rRect.getMinX(), rRect.getMaxY() },
+ { rRect.getMinX(), rRect.getMinY() },
+ { rRect.getMaxX(), rRect.getMinY() },
+ { rRect.getMaxX(), rRect.getMaxY() }
+ };
+
+ // close
+ aPolygon.setClosed( true );
+
+ return aPolygon;
+ }
+ else if(rtl::math::approxEqual(fOne, fRadiusX) && rtl::math::approxEqual(fOne, fRadiusY))
+ {
+ // in both directions full radius, use ellipse
+ const B2DPoint aCenter(rRect.getCenter());
+ const double fRectRadiusX(rRect.getWidth() / 2.0);
+ const double fRectRadiusY(rRect.getHeight() / 2.0);
+
+ return createPolygonFromEllipse( aCenter, fRectRadiusX, fRectRadiusY );
+ }
+ else
+ {
+ B2DPolygon aRetval;
+ const double fBowX((rRect.getWidth() / 2.0) * fRadiusX);
+ const double fBowY((rRect.getHeight() / 2.0) * fRadiusY);
+ const double fKappa(impDistanceBezierPointToControl(F_PI2));
+
+ // create start point at bottom center
+ if(!rtl::math::approxEqual(fOne, fRadiusX))
+ {
+ const B2DPoint aBottomCenter(rRect.getCenter().getX(), rRect.getMaxY());
+ aRetval.append(aBottomCenter);
+ }
+
+ // create first bow
+ {
+ const B2DPoint aBottomRight(rRect.getMaxX(), rRect.getMaxY());
+ const B2DPoint aStart(aBottomRight + B2DPoint(-fBowX, 0.0));
+ const B2DPoint aStop(aBottomRight + B2DPoint(0.0, -fBowY));
+ aRetval.append(aStart);
+ aRetval.appendBezierSegment(interpolate(aStart, aBottomRight, fKappa), interpolate(aStop, aBottomRight, fKappa), aStop);
+ }
+
+ // create second bow
+ {
+ const B2DPoint aTopRight(rRect.getMaxX(), rRect.getMinY());
+ const B2DPoint aStart(aTopRight + B2DPoint(0.0, fBowY));
+ const B2DPoint aStop(aTopRight + B2DPoint(-fBowX, 0.0));
+ aRetval.append(aStart);
+ aRetval.appendBezierSegment(interpolate(aStart, aTopRight, fKappa), interpolate(aStop, aTopRight, fKappa), aStop);
+ }
+
+ // create third bow
+ {
+ const B2DPoint aTopLeft(rRect.getMinX(), rRect.getMinY());
+ const B2DPoint aStart(aTopLeft + B2DPoint(fBowX, 0.0));
+ const B2DPoint aStop(aTopLeft + B2DPoint(0.0, fBowY));
+ aRetval.append(aStart);
+ aRetval.appendBezierSegment(interpolate(aStart, aTopLeft, fKappa), interpolate(aStop, aTopLeft, fKappa), aStop);
+ }
+
+ // create forth bow
+ {
+ const B2DPoint aBottomLeft(rRect.getMinX(), rRect.getMaxY());
+ const B2DPoint aStart(aBottomLeft + B2DPoint(0.0, -fBowY));
+ const B2DPoint aStop(aBottomLeft + B2DPoint(fBowX, 0.0));
+ aRetval.append(aStart);
+ aRetval.appendBezierSegment(interpolate(aStart, aBottomLeft, fKappa), interpolate(aStop, aBottomLeft, fKappa), aStop);
+ }
+
+ // close
+ aRetval.setClosed( true );
+
+ // remove double created points if there are extreme radii involved
+ if(rtl::math::approxEqual(fOne, fRadiusX) || rtl::math::approxEqual(fOne, fRadiusY))
+ {
+ aRetval.removeDoublePoints();
+ }
+
+ return aRetval;
+ }
+ }
+
+ B2DPolygon createPolygonFromRect( const B2DRectangle& rRect )
+ {
+ B2DPolygon aPolygon {
+ { rRect.getMinX(), rRect.getMinY() },
+ { rRect.getMaxX(), rRect.getMinY() },
+ { rRect.getMaxX(), rRect.getMaxY() },
+ { rRect.getMinX(), rRect.getMaxY() }
+ };
+
+ // close
+ aPolygon.setClosed( true );
+
+ return aPolygon;
+ }
+
+ B2DPolygon const & createUnitPolygon()
+ {
+ static auto const singleton = [] {
+ B2DPolygon aPolygon {
+ { 0.0, 0.0 },
+ { 1.0, 0.0 },
+ { 1.0, 1.0 },
+ { 0.0, 1.0 }
+ };
+
+ // close
+ aPolygon.setClosed( true );
+
+ return aPolygon;
+ }();
+ return singleton;
+ }
+
+ B2DPolygon createPolygonFromCircle( const B2DPoint& rCenter, double fRadius )
+ {
+ return createPolygonFromEllipse( rCenter, fRadius, fRadius );
+ }
+
+ static B2DPolygon impCreateUnitCircle(sal_uInt32 nStartQuadrant)
+ {
+ B2DPolygon aUnitCircle;
+ const double fSegmentKappa = impDistanceBezierPointToControl(F_PI2 / STEPSPERQUARTER);
+ const B2DHomMatrix aRotateMatrix(createRotateB2DHomMatrix(F_PI2 / STEPSPERQUARTER));
+
+ B2DPoint aPoint(1.0, 0.0);
+ B2DPoint aForward(1.0, fSegmentKappa);
+ B2DPoint aBackward(1.0, -fSegmentKappa);
+
+ if(nStartQuadrant != 0)
+ {
+ const B2DHomMatrix aQuadrantMatrix(createRotateB2DHomMatrix(F_PI2 * (nStartQuadrant % 4)));
+ aPoint *= aQuadrantMatrix;
+ aBackward *= aQuadrantMatrix;
+ aForward *= aQuadrantMatrix;
+ }
+
+ aUnitCircle.append(aPoint);
+
+ for(sal_uInt32 a(0); a < STEPSPERQUARTER * 4; a++)
+ {
+ aPoint *= aRotateMatrix;
+ aBackward *= aRotateMatrix;
+ aUnitCircle.appendBezierSegment(aForward, aBackward, aPoint);
+ aForward *= aRotateMatrix;
+ }
+
+ aUnitCircle.setClosed(true);
+ aUnitCircle.removeDoublePoints();
+
+ return aUnitCircle;
+ }
+
+ B2DPolygon const & createHalfUnitCircle()
+ {
+ static auto const singleton = [] {
+ B2DPolygon aUnitHalfCircle;
+ const double fSegmentKappa(impDistanceBezierPointToControl(F_PI2 / STEPSPERQUARTER));
+ const B2DHomMatrix aRotateMatrix(createRotateB2DHomMatrix(F_PI2 / STEPSPERQUARTER));
+ B2DPoint aPoint(1.0, 0.0);
+ B2DPoint aForward(1.0, fSegmentKappa);
+ B2DPoint aBackward(1.0, -fSegmentKappa);
+
+ aUnitHalfCircle.append(aPoint);
+
+ for(sal_uInt32 a(0); a < STEPSPERQUARTER * 2; a++)
+ {
+ aPoint *= aRotateMatrix;
+ aBackward *= aRotateMatrix;
+ aUnitHalfCircle.appendBezierSegment(aForward, aBackward, aPoint);
+ aForward *= aRotateMatrix;
+ }
+ return aUnitHalfCircle;
+ }();
+ return singleton;
+ }
+
+ B2DPolygon const & createPolygonFromUnitCircle(sal_uInt32 nStartQuadrant)
+ {
+ switch(nStartQuadrant % 4)
+ {
+ case 1 :
+ {
+ static auto const singleton = impCreateUnitCircle(1);
+ return singleton;
+ }
+
+ case 2 :
+ {
+ static auto const singleton = impCreateUnitCircle(2);
+ return singleton;
+ }
+
+ case 3 :
+ {
+ static auto const singleton = impCreateUnitCircle(3);
+ return singleton;
+ }
+
+ default : // case 0 :
+ {
+ static auto const singleton = impCreateUnitCircle(0);
+ return singleton;
+ }
+ }
+ }
+
+ B2DPolygon createPolygonFromEllipse( const B2DPoint& rCenter, double fRadiusX, double fRadiusY, sal_uInt32 nStartQuadrant)
+ {
+ B2DPolygon aRetval(createPolygonFromUnitCircle(nStartQuadrant));
+ const B2DHomMatrix aMatrix(createScaleTranslateB2DHomMatrix(fRadiusX, fRadiusY, rCenter.getX(), rCenter.getY()));
+
+ aRetval.transform(aMatrix);
+
+ return aRetval;
+ }
+
+ B2DPolygon createPolygonFromUnitEllipseSegment( double fStart, double fEnd )
+ {
+ B2DPolygon aRetval;
+
+ // truncate fStart, fEnd to a range of [0.0 .. F_2PI[ where F_2PI
+ // falls back to 0.0 to ensure a unique definition
+ if(fTools::less(fStart, 0.0))
+ {
+ fStart = 0.0;
+ }
+
+ if(fTools::moreOrEqual(fStart, F_2PI))
+ {
+ fStart = 0.0;
+ }
+
+ if(fTools::less(fEnd, 0.0))
+ {
+ fEnd = 0.0;
+ }
+
+ if(fTools::moreOrEqual(fEnd, F_2PI))
+ {
+ fEnd = 0.0;
+ }
+
+ if(fTools::equal(fStart, fEnd))
+ {
+ // same start and end angle, add single point
+ aRetval.append(B2DPoint(cos(fStart), sin(fStart)));
+ }
+ else
+ {
+ const sal_uInt32 nSegments(STEPSPERQUARTER * 4);
+ const double fAnglePerSegment(F_PI2 / STEPSPERQUARTER);
+ const sal_uInt32 nStartSegment(sal_uInt32(fStart / fAnglePerSegment) % nSegments);
+ const sal_uInt32 nEndSegment(sal_uInt32(fEnd / fAnglePerSegment) % nSegments);
+ const double fSegmentKappa(impDistanceBezierPointToControl(fAnglePerSegment));
+
+ B2DPoint aSegStart(cos(fStart), sin(fStart));
+ aRetval.append(aSegStart);
+
+ if(nStartSegment == nEndSegment && fTools::more(fEnd, fStart))
+ {
+ // start and end in one sector and in the right order, create in one segment
+ const B2DPoint aSegEnd(cos(fEnd), sin(fEnd));
+ const double fFactor(impDistanceBezierPointToControl(fEnd - fStart));
+
+ aRetval.appendBezierSegment(
+ aSegStart + (B2DPoint(-aSegStart.getY(), aSegStart.getX()) * fFactor),
+ aSegEnd - (B2DPoint(-aSegEnd.getY(), aSegEnd.getX()) * fFactor),
+ aSegEnd);
+ }
+ else
+ {
+ double fSegEndRad((nStartSegment + 1) * fAnglePerSegment);
+ double fFactor(impDistanceBezierPointToControl(fSegEndRad - fStart));
+ B2DPoint aSegEnd(cos(fSegEndRad), sin(fSegEndRad));
+
+ aRetval.appendBezierSegment(
+ aSegStart + (B2DPoint(-aSegStart.getY(), aSegStart.getX()) * fFactor),
+ aSegEnd - (B2DPoint(-aSegEnd.getY(), aSegEnd.getX()) * fFactor),
+ aSegEnd);
+
+ sal_uInt32 nSegment((nStartSegment + 1) % nSegments);
+ aSegStart = aSegEnd;
+
+ while(nSegment != nEndSegment)
+ {
+ // No end in this sector, add full sector.
+ fSegEndRad = (nSegment + 1) * fAnglePerSegment;
+ aSegEnd = B2DPoint(cos(fSegEndRad), sin(fSegEndRad));
+
+ aRetval.appendBezierSegment(
+ aSegStart + (B2DPoint(-aSegStart.getY(), aSegStart.getX()) * fSegmentKappa),
+ aSegEnd - (B2DPoint(-aSegEnd.getY(), aSegEnd.getX()) * fSegmentKappa),
+ aSegEnd);
+
+ nSegment = (nSegment + 1) % nSegments;
+ aSegStart = aSegEnd;
+ }
+
+ // End in this sector
+ const double fSegStartRad(nSegment * fAnglePerSegment);
+ fFactor= impDistanceBezierPointToControl(fEnd - fSegStartRad);
+ aSegEnd = B2DPoint(cos(fEnd), sin(fEnd));
+
+ aRetval.appendBezierSegment(
+ aSegStart + (B2DPoint(-aSegStart.getY(), aSegStart.getX()) * fFactor),
+ aSegEnd - (B2DPoint(-aSegEnd.getY(), aSegEnd.getX()) * fFactor),
+ aSegEnd);
+ }
+ }
+
+ // remove double points between segments created by segmented creation
+ aRetval.removeDoublePoints();
+
+ return aRetval;
+ }
+
+ B2DPolygon createPolygonFromEllipseSegment( const B2DPoint& rCenter, double fRadiusX, double fRadiusY, double fStart, double fEnd )
+ {
+ B2DPolygon aRetval(createPolygonFromUnitEllipseSegment(fStart, fEnd));
+ const B2DHomMatrix aMatrix(createScaleTranslateB2DHomMatrix(fRadiusX, fRadiusY, rCenter.getX(), rCenter.getY()));
+
+ aRetval.transform(aMatrix);
+
+ return aRetval;
+ }
+
+ bool hasNeutralPoints(const B2DPolygon& rCandidate)
+ {
+ OSL_ENSURE(!rCandidate.areControlPointsUsed(), "hasNeutralPoints: ATM works not for curves (!)");
+ const sal_uInt32 nPointCount(rCandidate.count());
+
+ if(nPointCount > 2)
+ {
+ B2DPoint aPrevPoint(rCandidate.getB2DPoint(nPointCount - 1));
+ B2DPoint aCurrPoint(rCandidate.getB2DPoint(0));
+
+ for(sal_uInt32 a(0); a < nPointCount; a++)
+ {
+ const B2DPoint aNextPoint(rCandidate.getB2DPoint((a + 1) % nPointCount));
+ const B2DVector aPrevVec(aPrevPoint - aCurrPoint);
+ const B2DVector aNextVec(aNextPoint - aCurrPoint);
+ const B2VectorOrientation aOrientation(getOrientation(aNextVec, aPrevVec));
+
+ if(aOrientation == B2VectorOrientation::Neutral)
+ {
+ // current has neutral orientation
+ return true;
+ }
+ else
+ {
+ // prepare next
+ aPrevPoint = aCurrPoint;
+ aCurrPoint = aNextPoint;
+ }
+ }
+ }
+
+ return false;
+ }
+
+ B2DPolygon removeNeutralPoints(const B2DPolygon& rCandidate)
+ {
+ if(hasNeutralPoints(rCandidate))
+ {
+ const sal_uInt32 nPointCount(rCandidate.count());
+ B2DPolygon aRetval;
+ B2DPoint aPrevPoint(rCandidate.getB2DPoint(nPointCount - 1));
+ B2DPoint aCurrPoint(rCandidate.getB2DPoint(0));
+
+ for(sal_uInt32 a(0); a < nPointCount; a++)
+ {
+ const B2DPoint aNextPoint(rCandidate.getB2DPoint((a + 1) % nPointCount));
+ const B2DVector aPrevVec(aPrevPoint - aCurrPoint);
+ const B2DVector aNextVec(aNextPoint - aCurrPoint);
+ const B2VectorOrientation aOrientation(getOrientation(aNextVec, aPrevVec));
+
+ if(aOrientation == B2VectorOrientation::Neutral)
+ {
+ // current has neutral orientation, leave it out and prepare next
+ aCurrPoint = aNextPoint;
+ }
+ else
+ {
+ // add current point
+ aRetval.append(aCurrPoint);
+
+ // prepare next
+ aPrevPoint = aCurrPoint;
+ aCurrPoint = aNextPoint;
+ }
+ }
+
+ while(aRetval.count() && getOrientationForIndex(aRetval, 0) == B2VectorOrientation::Neutral)
+ {
+ aRetval.remove(0);
+ }
+
+ // copy closed state
+ aRetval.setClosed(rCandidate.isClosed());
+
+ return aRetval;
+ }
+ else
+ {
+ return rCandidate;
+ }
+ }
+
+ bool isConvex(const B2DPolygon& rCandidate)
+ {
+ OSL_ENSURE(!rCandidate.areControlPointsUsed(), "isConvex: ATM works not for curves (!)");
+ const sal_uInt32 nPointCount(rCandidate.count());
+
+ if(nPointCount > 2)
+ {
+ const B2DPoint aPrevPoint(rCandidate.getB2DPoint(nPointCount - 1));
+ B2DPoint aCurrPoint(rCandidate.getB2DPoint(0));
+ B2DVector aCurrVec(aPrevPoint - aCurrPoint);
+ B2VectorOrientation aOrientation(B2VectorOrientation::Neutral);
+
+ for(sal_uInt32 a(0); a < nPointCount; a++)
+ {
+ const B2DPoint aNextPoint(rCandidate.getB2DPoint((a + 1) % nPointCount));
+ const B2DVector aNextVec(aNextPoint - aCurrPoint);
+ const B2VectorOrientation aCurrentOrientation(getOrientation(aNextVec, aCurrVec));
+
+ if(aOrientation == B2VectorOrientation::Neutral)
+ {
+ // set start value, maybe neutral again
+ aOrientation = aCurrentOrientation;
+ }
+ else
+ {
+ if(aCurrentOrientation != B2VectorOrientation::Neutral && aCurrentOrientation != aOrientation)
+ {
+ // different orientations found, that's it
+ return false;
+ }
+ }
+
+ // prepare next
+ aCurrPoint = aNextPoint;
+ aCurrVec = -aNextVec;
+ }
+ }
+
+ return true;
+ }
+
+ B2VectorOrientation getOrientationForIndex(const B2DPolygon& rCandidate, sal_uInt32 nIndex)
+ {
+ OSL_ENSURE(nIndex < rCandidate.count(), "getOrientationForIndex: index out of range (!)");
+ const B2DPoint aPrev(rCandidate.getB2DPoint(getIndexOfPredecessor(nIndex, rCandidate)));
+ const B2DPoint aCurr(rCandidate.getB2DPoint(nIndex));
+ const B2DPoint aNext(rCandidate.getB2DPoint(getIndexOfSuccessor(nIndex, rCandidate)));
+ const B2DVector aBack(aPrev - aCurr);
+ const B2DVector aForw(aNext - aCurr);
+
+ return getOrientation(aForw, aBack);
+ }
+
+ bool isPointOnLine(const B2DPoint& rStart, const B2DPoint& rEnd, const B2DPoint& rCandidate, bool bWithPoints)
+ {
+ if(rCandidate.equal(rStart) || rCandidate.equal(rEnd))
+ {
+ // candidate is in epsilon around start or end -> inside
+ return bWithPoints;
+ }
+ else if(rStart.equal(rEnd))
+ {
+ // start and end are equal, but candidate is outside their epsilon -> outside
+ return false;
+ }
+ else
+ {
+ const B2DVector aEdgeVector(rEnd - rStart);
+ const B2DVector aTestVector(rCandidate - rStart);
+
+ if(areParallel(aEdgeVector, aTestVector))
+ {
+ const double fZero(0.0);
+ const double fOne(1.0);
+ const double fParamTestOnCurr(fabs(aEdgeVector.getX()) > fabs(aEdgeVector.getY())
+ ? aTestVector.getX() / aEdgeVector.getX()
+ : aTestVector.getY() / aEdgeVector.getY());
+
+ if(fTools::more(fParamTestOnCurr, fZero) && fTools::less(fParamTestOnCurr, fOne))
+ {
+ return true;
+ }
+ }
+
+ return false;
+ }
+ }
+
+ bool isPointOnPolygon(const B2DPolygon& rCandidate, const B2DPoint& rPoint, bool bWithPoints)
+ {
+ const B2DPolygon aCandidate(rCandidate.areControlPointsUsed() ? rCandidate.getDefaultAdaptiveSubdivision() : rCandidate);
+ const sal_uInt32 nPointCount(aCandidate.count());
+
+ if(nPointCount > 1)
+ {
+ const sal_uInt32 nLoopCount(aCandidate.isClosed() ? nPointCount : nPointCount - 1);
+ B2DPoint aCurrentPoint(aCandidate.getB2DPoint(0));
+
+ for(sal_uInt32 a(0); a < nLoopCount; a++)
+ {
+ const B2DPoint aNextPoint(aCandidate.getB2DPoint((a + 1) % nPointCount));
+
+ if(isPointOnLine(aCurrentPoint, aNextPoint, rPoint, bWithPoints))
+ {
+ return true;
+ }
+
+ aCurrentPoint = aNextPoint;
+ }
+ }
+ else if(nPointCount && bWithPoints)
+ {
+ return rPoint.equal(aCandidate.getB2DPoint(0));
+ }
+
+ return false;
+ }
+
+ bool isPointInTriangle(const B2DPoint& rA, const B2DPoint& rB, const B2DPoint& rC, const B2DPoint& rCandidate, bool bWithBorder)
+ {
+ if(arePointsOnSameSideOfLine(rA, rB, rC, rCandidate, bWithBorder))
+ {
+ if(arePointsOnSameSideOfLine(rB, rC, rA, rCandidate, bWithBorder))
+ {
+ if(arePointsOnSameSideOfLine(rC, rA, rB, rCandidate, bWithBorder))
+ {
+ return true;
+ }
+ }
+ }
+
+ return false;
+ }
+
+ bool arePointsOnSameSideOfLine(const B2DPoint& rStart, const B2DPoint& rEnd, const B2DPoint& rCandidateA, const B2DPoint& rCandidateB, bool bWithLine)
+ {
+ const B2DVector aLineVector(rEnd - rStart);
+ const B2DVector aVectorToA(rEnd - rCandidateA);
+ const double fCrossA(aLineVector.cross(aVectorToA));
+
+ // tdf#88352 increase numerical correctness and use rtl::math::approxEqual
+ // instead of fTools::equalZero which compares with a fixed small value
+ if(fCrossA == 0.0)
+ {
+ // one point on the line
+ return bWithLine;
+ }
+
+ const B2DVector aVectorToB(rEnd - rCandidateB);
+ const double fCrossB(aLineVector.cross(aVectorToB));
+
+ // increase numerical correctness
+ if(fCrossB == 0.0)
+ {
+ // one point on the line
+ return bWithLine;
+ }
+
+ // return true if they both have the same sign
+ return ((fCrossA > 0.0) == (fCrossB > 0.0));
+ }
+
+ void addTriangleFan(
+ const B2DPolygon& rCandidate,
+ triangulator::B2DTriangleVector& rTarget)
+ {
+ const sal_uInt32 nCount(rCandidate.count());
+
+ if(nCount <= 2)
+ return;
+
+ const B2DPoint aStart(rCandidate.getB2DPoint(0));
+ B2DPoint aLast(rCandidate.getB2DPoint(1));
+
+ for(sal_uInt32 a(2); a < nCount; a++)
+ {
+ const B2DPoint aCurrent(rCandidate.getB2DPoint(a));
+ rTarget.emplace_back(
+ aStart,
+ aLast,
+ aCurrent);
+
+ // prepare next
+ aLast = aCurrent;
+ }
+ }
+
+ namespace
+ {
+ /// return 0 for input of 0, -1 for negative and 1 for positive input
+ int lcl_sgn( const double n )
+ {
+ return n == 0.0 ? 0 : 1 - 2*int(std::signbit(n));
+ }
+ }
+
+ bool isRectangle( const B2DPolygon& rPoly )
+ {
+ // polygon must be closed to resemble a rect, and contain
+ // at least four points.
+ if( !rPoly.isClosed() ||
+ rPoly.count() < 4 ||
+ rPoly.areControlPointsUsed() )
+ {
+ return false;
+ }
+
+ // number of 90 degree turns the polygon has taken
+ int nNumTurns(0);
+
+ int nVerticalEdgeType=0;
+ int nHorizontalEdgeType=0;
+ bool bNullVertex(true);
+ bool bCWPolygon(false); // when true, polygon is CW
+ // oriented, when false, CCW
+ bool bOrientationSet(false); // when false, polygon
+ // orientation has not yet
+ // been determined.
+
+ // scan all _edges_ (which involves coming back to point 0
+ // for the last edge - thus the modulo operation below)
+ const sal_Int32 nCount( rPoly.count() );
+ for( sal_Int32 i=0; i<nCount; ++i )
+ {
+ const B2DPoint& rPoint0( rPoly.getB2DPoint(i % nCount) );
+ const B2DPoint& rPoint1( rPoly.getB2DPoint((i+1) % nCount) );
+
+ // is 0 for zero direction vector, 1 for south edge and -1
+ // for north edge (standard screen coordinate system)
+ int nCurrVerticalEdgeType( lcl_sgn( rPoint1.getY() - rPoint0.getY() ) );
+
+ // is 0 for zero direction vector, 1 for east edge and -1
+ // for west edge (standard screen coordinate system)
+ int nCurrHorizontalEdgeType( lcl_sgn(rPoint1.getX() - rPoint0.getX()) );
+
+ if( nCurrVerticalEdgeType && nCurrHorizontalEdgeType )
+ return false; // oblique edge - for sure no rect
+
+ const bool bCurrNullVertex( !nCurrVerticalEdgeType && !nCurrHorizontalEdgeType );
+
+ // current vertex is equal to previous - just skip,
+ // until we have a real edge
+ if( bCurrNullVertex )
+ continue;
+
+ // if previous edge has two identical points, because
+ // no previous edge direction was available, simply
+ // take this first non-null edge as the start
+ // direction. That's what will happen here, if
+ // bNullVertex is false
+ if( !bNullVertex )
+ {
+ // 2D cross product - is 1 for CW and -1 for CCW turns
+ const int nCrossProduct( nHorizontalEdgeType*nCurrVerticalEdgeType -
+ nVerticalEdgeType*nCurrHorizontalEdgeType );
+
+ if( !nCrossProduct )
+ continue; // no change in orientation -
+ // collinear edges - just go on
+
+ // if polygon orientation is not set, we'll
+ // determine it now
+ if( !bOrientationSet )
+ {
+ bCWPolygon = nCrossProduct == 1;
+ bOrientationSet = true;
+ }
+ else
+ {
+ // if current turn orientation is not equal
+ // initial orientation, this is not a
+ // rectangle (as rectangles have consistent
+ // orientation).
+ if( (nCrossProduct == 1) != bCWPolygon )
+ return false;
+ }
+
+ ++nNumTurns;
+
+ // More than four 90 degree turns are an
+ // indication that this must not be a rectangle.
+ if( nNumTurns > 4 )
+ return false;
+ }
+
+ // store current state for the next turn
+ nVerticalEdgeType = nCurrVerticalEdgeType;
+ nHorizontalEdgeType = nCurrHorizontalEdgeType;
+ bNullVertex = false; // won't reach this line,
+ // if bCurrNullVertex is
+ // true - see above
+ }
+
+ return true;
+ }
+
+ B3DPolygon createB3DPolygonFromB2DPolygon(const B2DPolygon& rCandidate, double fZCoordinate)
+ {
+ if(rCandidate.areControlPointsUsed())
+ {
+ // call myself recursively with subdivided input
+ const B2DPolygon aCandidate(adaptiveSubdivideByAngle(rCandidate));
+ return createB3DPolygonFromB2DPolygon(aCandidate, fZCoordinate);
+ }
+ else
+ {
+ B3DPolygon aRetval;
+
+ for(sal_uInt32 a(0); a < rCandidate.count(); a++)
+ {
+ B2DPoint aPoint(rCandidate.getB2DPoint(a));
+ aRetval.append(B3DPoint(aPoint.getX(), aPoint.getY(), fZCoordinate));
+ }
+
+ // copy closed state
+ aRetval.setClosed(rCandidate.isClosed());
+
+ return aRetval;
+ }
+ }
+
+ B2DPolygon createB2DPolygonFromB3DPolygon(const B3DPolygon& rCandidate, const B3DHomMatrix& rMat)
+ {
+ B2DPolygon aRetval;
+ const sal_uInt32 nCount(rCandidate.count());
+ const bool bIsIdentity(rMat.isIdentity());
+
+ for(sal_uInt32 a(0); a < nCount; a++)
+ {
+ B3DPoint aCandidate(rCandidate.getB3DPoint(a));
+
+ if(!bIsIdentity)
+ {
+ aCandidate *= rMat;
+ }
+
+ aRetval.append(B2DPoint(aCandidate.getX(), aCandidate.getY()));
+ }
+
+ // copy closed state
+ aRetval.setClosed(rCandidate.isClosed());
+
+ return aRetval;
+ }
+
+ double getSmallestDistancePointToEdge(const B2DPoint& rPointA, const B2DPoint& rPointB, const B2DPoint& rTestPoint, double& rCut)
+ {
+ if(rPointA.equal(rPointB))
+ {
+ rCut = 0.0;
+ const B2DVector aVector(rTestPoint - rPointA);
+ return aVector.getLength();
+ }
+ else
+ {
+ // get the relative cut value on line vector (Vector1) for cut with perpendicular through TestPoint
+ const B2DVector aVector1(rPointB - rPointA);
+ const B2DVector aVector2(rTestPoint - rPointA);
+ const double fDividend((aVector2.getX() * aVector1.getX()) + (aVector2.getY() * aVector1.getY()));
+ const double fDivisor((aVector1.getX() * aVector1.getX()) + (aVector1.getY() * aVector1.getY()));
+ const double fCut(fDividend / fDivisor);
+
+ if(fCut < 0.0)
+ {
+ // not in line range, get distance to PointA
+ rCut = 0.0;
+ return aVector2.getLength();
+ }
+ else if(fCut > 1.0)
+ {
+ // not in line range, get distance to PointB
+ rCut = 1.0;
+ const B2DVector aVector(rTestPoint - rPointB);
+ return aVector.getLength();
+ }
+ else
+ {
+ // in line range
+ const B2DPoint aCutPoint(rPointA + fCut * aVector1);
+ const B2DVector aVector(rTestPoint - aCutPoint);
+ rCut = fCut;
+ return aVector.getLength();
+ }
+ }
+ }
+
+ double getSmallestDistancePointToPolygon(const B2DPolygon& rCandidate, const B2DPoint& rTestPoint, sal_uInt32& rEdgeIndex, double& rCut)
+ {
+ double fRetval(DBL_MAX);
+ const sal_uInt32 nPointCount(rCandidate.count());
+
+ if(nPointCount > 1)
+ {
+ const double fZero(0.0);
+ const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+ B2DCubicBezier aBezier;
+ aBezier.setStartPoint(rCandidate.getB2DPoint(0));
+
+ for(sal_uInt32 a(0); a < nEdgeCount; a++)
+ {
+ const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+ aBezier.setEndPoint(rCandidate.getB2DPoint(nNextIndex));
+ double fEdgeDist;
+ double fNewCut(0.0);
+ bool bEdgeIsCurve(false);
+
+ if(rCandidate.areControlPointsUsed())
+ {
+ aBezier.setControlPointA(rCandidate.getNextControlPoint(a));
+ aBezier.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex));
+ aBezier.testAndSolveTrivialBezier();
+ bEdgeIsCurve = aBezier.isBezier();
+ }
+
+ if(bEdgeIsCurve)
+ {
+ fEdgeDist = aBezier.getSmallestDistancePointToBezierSegment(rTestPoint, fNewCut);
+ }
+ else
+ {
+ fEdgeDist = getSmallestDistancePointToEdge(aBezier.getStartPoint(), aBezier.getEndPoint(), rTestPoint, fNewCut);
+ }
+
+ if(fRetval == DBL_MAX || fEdgeDist < fRetval)
+ {
+ fRetval = fEdgeDist;
+ rEdgeIndex = a;
+ rCut = fNewCut;
+
+ if(fTools::equal(fRetval, fZero))
+ {
+ // already found zero distance, cannot get better. Ensure numerical zero value and end loop.
+ fRetval = 0.0;
+ break;
+ }
+ }
+
+ // prepare next step
+ aBezier.setStartPoint(aBezier.getEndPoint());
+ }
+
+ if(rtl::math::approxEqual(1.0, rCut))
+ {
+ // correct rEdgeIndex when not last point
+ if(rCandidate.isClosed())
+ {
+ rEdgeIndex = getIndexOfSuccessor(rEdgeIndex, rCandidate);
+ rCut = 0.0;
+ }
+ else
+ {
+ if(rEdgeIndex != nEdgeCount - 1)
+ {
+ rEdgeIndex++;
+ rCut = 0.0;
+ }
+ }
+ }
+ }
+
+ return fRetval;
+ }
+
+ B2DPoint distort(const B2DPoint& rCandidate, const B2DRange& rOriginal, const B2DPoint& rTopLeft, const B2DPoint& rTopRight, const B2DPoint& rBottomLeft, const B2DPoint& rBottomRight)
+ {
+ if(fTools::equalZero(rOriginal.getWidth()) || fTools::equalZero(rOriginal.getHeight()))
+ {
+ return rCandidate;
+ }
+ else
+ {
+ const double fRelativeX((rCandidate.getX() - rOriginal.getMinX()) / rOriginal.getWidth());
+ const double fRelativeY((rCandidate.getY() - rOriginal.getMinY()) / rOriginal.getHeight());
+ const double fOneMinusRelativeX(1.0 - fRelativeX);
+ const double fOneMinusRelativeY(1.0 - fRelativeY);
+ const double fNewX(fOneMinusRelativeY * (fOneMinusRelativeX * rTopLeft.getX() + fRelativeX * rTopRight.getX()) +
+ fRelativeY * (fOneMinusRelativeX * rBottomLeft.getX() + fRelativeX * rBottomRight.getX()));
+ const double fNewY(fOneMinusRelativeX * (fOneMinusRelativeY * rTopLeft.getY() + fRelativeY * rBottomLeft.getY()) +
+ fRelativeX * (fOneMinusRelativeY * rTopRight.getY() + fRelativeY * rBottomRight.getY()));
+
+ return B2DPoint(fNewX, fNewY);
+ }
+ }
+
+ B2DPolygon distort(const B2DPolygon& rCandidate, const B2DRange& rOriginal, const B2DPoint& rTopLeft, const B2DPoint& rTopRight, const B2DPoint& rBottomLeft, const B2DPoint& rBottomRight)
+ {
+ const sal_uInt32 nPointCount(rCandidate.count());
+
+ if(nPointCount && rOriginal.getWidth() != 0.0 && rOriginal.getHeight() != 0.0)
+ {
+ B2DPolygon aRetval;
+
+ for(sal_uInt32 a(0); a < nPointCount; a++)
+ {
+ aRetval.append(distort(rCandidate.getB2DPoint(a), rOriginal, rTopLeft, rTopRight, rBottomLeft, rBottomRight));
+
+ if(rCandidate.areControlPointsUsed())
+ {
+ if(!rCandidate.getPrevControlPoint(a).equalZero())
+ {
+ aRetval.setPrevControlPoint(a, distort(rCandidate.getPrevControlPoint(a), rOriginal, rTopLeft, rTopRight, rBottomLeft, rBottomRight));
+ }
+
+ if(!rCandidate.getNextControlPoint(a).equalZero())
+ {
+ aRetval.setNextControlPoint(a, distort(rCandidate.getNextControlPoint(a), rOriginal, rTopLeft, rTopRight, rBottomLeft, rBottomRight));
+ }
+ }
+ }
+
+ aRetval.setClosed(rCandidate.isClosed());
+ return aRetval;
+ }
+ else
+ {
+ return rCandidate;
+ }
+ }
+
+ B2DPolygon expandToCurve(const B2DPolygon& rCandidate)
+ {
+ B2DPolygon aRetval(rCandidate);
+
+ for(sal_uInt32 a(0); a < rCandidate.count(); a++)
+ {
+ expandToCurveInPoint(aRetval, a);
+ }
+
+ return aRetval;
+ }
+
+ bool expandToCurveInPoint(B2DPolygon& rCandidate, sal_uInt32 nIndex)
+ {
+ OSL_ENSURE(nIndex < rCandidate.count(), "expandToCurveInPoint: Access to polygon out of range (!)");
+ bool bRetval(false);
+ const sal_uInt32 nPointCount(rCandidate.count());
+
+ if(nPointCount)
+ {
+ // predecessor
+ if(!rCandidate.isPrevControlPointUsed(nIndex))
+ {
+ if(!rCandidate.isClosed() && nIndex == 0)
+ {
+ // do not create previous vector for start point of open polygon
+ }
+ else
+ {
+ const sal_uInt32 nPrevIndex((nIndex + (nPointCount - 1)) % nPointCount);
+ rCandidate.setPrevControlPoint(nIndex, interpolate(rCandidate.getB2DPoint(nIndex), rCandidate.getB2DPoint(nPrevIndex), 1.0 / 3.0));
+ bRetval = true;
+ }
+ }
+
+ // successor
+ if(!rCandidate.isNextControlPointUsed(nIndex))
+ {
+ if(!rCandidate.isClosed() && nIndex + 1 == nPointCount)
+ {
+ // do not create next vector for end point of open polygon
+ }
+ else
+ {
+ const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount);
+ rCandidate.setNextControlPoint(nIndex, interpolate(rCandidate.getB2DPoint(nIndex), rCandidate.getB2DPoint(nNextIndex), 1.0 / 3.0));
+ bRetval = true;
+ }
+ }
+ }
+
+ return bRetval;
+ }
+
+ bool setContinuityInPoint(B2DPolygon& rCandidate, sal_uInt32 nIndex, B2VectorContinuity eContinuity)
+ {
+ OSL_ENSURE(nIndex < rCandidate.count(), "setContinuityInPoint: Access to polygon out of range (!)");
+ bool bRetval(false);
+ const sal_uInt32 nPointCount(rCandidate.count());
+
+ if(nPointCount)
+ {
+ const B2DPoint aCurrentPoint(rCandidate.getB2DPoint(nIndex));
+
+ switch(eContinuity)
+ {
+ case B2VectorContinuity::NONE :
+ {
+ if(rCandidate.isPrevControlPointUsed(nIndex))
+ {
+ if(!rCandidate.isClosed() && nIndex == 0)
+ {
+ // remove existing previous vector for start point of open polygon
+ rCandidate.resetPrevControlPoint(nIndex);
+ }
+ else
+ {
+ const sal_uInt32 nPrevIndex((nIndex + (nPointCount - 1)) % nPointCount);
+ rCandidate.setPrevControlPoint(nIndex, interpolate(aCurrentPoint, rCandidate.getB2DPoint(nPrevIndex), 1.0 / 3.0));
+ }
+
+ bRetval = true;
+ }
+
+ if(rCandidate.isNextControlPointUsed(nIndex))
+ {
+ if(!rCandidate.isClosed() && nIndex == nPointCount + 1)
+ {
+ // remove next vector for end point of open polygon
+ rCandidate.resetNextControlPoint(nIndex);
+ }
+ else
+ {
+ const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount);
+ rCandidate.setNextControlPoint(nIndex, interpolate(aCurrentPoint, rCandidate.getB2DPoint(nNextIndex), 1.0 / 3.0));
+ }
+
+ bRetval = true;
+ }
+
+ break;
+ }
+ case B2VectorContinuity::C1 :
+ {
+ if(rCandidate.isPrevControlPointUsed(nIndex) && rCandidate.isNextControlPointUsed(nIndex))
+ {
+ // lengths both exist since both are used
+ B2DVector aVectorPrev(rCandidate.getPrevControlPoint(nIndex) - aCurrentPoint);
+ B2DVector aVectorNext(rCandidate.getNextControlPoint(nIndex) - aCurrentPoint);
+ const double fLenPrev(aVectorPrev.getLength());
+ const double fLenNext(aVectorNext.getLength());
+ aVectorPrev.normalize();
+ aVectorNext.normalize();
+ const B2VectorOrientation aOrientation(getOrientation(aVectorPrev, aVectorNext));
+
+ if(aOrientation == B2VectorOrientation::Neutral && aVectorPrev.scalar(aVectorNext) < 0.0)
+ {
+ // parallel and opposite direction; check length
+ if(fTools::equal(fLenPrev, fLenNext))
+ {
+ // this would be even C2, but we want C1. Use the lengths of the corresponding edges.
+ const sal_uInt32 nPrevIndex((nIndex + (nPointCount - 1)) % nPointCount);
+ const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount);
+ const double fLenPrevEdge(B2DVector(rCandidate.getB2DPoint(nPrevIndex) - aCurrentPoint).getLength() * (1.0 / 3.0));
+ const double fLenNextEdge(B2DVector(rCandidate.getB2DPoint(nNextIndex) - aCurrentPoint).getLength() * (1.0 / 3.0));
+
+ rCandidate.setControlPoints(nIndex,
+ aCurrentPoint + (aVectorPrev * fLenPrevEdge),
+ aCurrentPoint + (aVectorNext * fLenNextEdge));
+ bRetval = true;
+ }
+ }
+ else
+ {
+ // not parallel or same direction, set vectors and length
+ const B2DVector aNormalizedPerpendicular(getNormalizedPerpendicular(aVectorPrev + aVectorNext));
+
+ if(aOrientation == B2VectorOrientation::Positive)
+ {
+ rCandidate.setControlPoints(nIndex,
+ aCurrentPoint - (aNormalizedPerpendicular * fLenPrev),
+ aCurrentPoint + (aNormalizedPerpendicular * fLenNext));
+ }
+ else
+ {
+ rCandidate.setControlPoints(nIndex,
+ aCurrentPoint + (aNormalizedPerpendicular * fLenPrev),
+ aCurrentPoint - (aNormalizedPerpendicular * fLenNext));
+ }
+
+ bRetval = true;
+ }
+ }
+ break;
+ }
+ case B2VectorContinuity::C2 :
+ {
+ if(rCandidate.isPrevControlPointUsed(nIndex) && rCandidate.isNextControlPointUsed(nIndex))
+ {
+ // lengths both exist since both are used
+ B2DVector aVectorPrev(rCandidate.getPrevControlPoint(nIndex) - aCurrentPoint);
+ B2DVector aVectorNext(rCandidate.getNextControlPoint(nIndex) - aCurrentPoint);
+ const double fCommonLength((aVectorPrev.getLength() + aVectorNext.getLength()) / 2.0);
+ aVectorPrev.normalize();
+ aVectorNext.normalize();
+ const B2VectorOrientation aOrientation(getOrientation(aVectorPrev, aVectorNext));
+
+ if(aOrientation == B2VectorOrientation::Neutral && aVectorPrev.scalar(aVectorNext) < 0.0)
+ {
+ // parallel and opposite direction; set length. Use one direction for better numerical correctness
+ const B2DVector aScaledDirection(aVectorPrev * fCommonLength);
+
+ rCandidate.setControlPoints(nIndex,
+ aCurrentPoint + aScaledDirection,
+ aCurrentPoint - aScaledDirection);
+ }
+ else
+ {
+ // not parallel or same direction, set vectors and length
+ const B2DVector aNormalizedPerpendicular(getNormalizedPerpendicular(aVectorPrev + aVectorNext));
+ const B2DVector aPerpendicular(aNormalizedPerpendicular * fCommonLength);
+
+ if(aOrientation == B2VectorOrientation::Positive)
+ {
+ rCandidate.setControlPoints(nIndex,
+ aCurrentPoint - aPerpendicular,
+ aCurrentPoint + aPerpendicular);
+ }
+ else
+ {
+ rCandidate.setControlPoints(nIndex,
+ aCurrentPoint + aPerpendicular,
+ aCurrentPoint - aPerpendicular);
+ }
+ }
+
+ bRetval = true;
+ }
+ break;
+ }
+ }
+ }
+
+ return bRetval;
+ }
+
+ B2DPolygon growInNormalDirection(const B2DPolygon& rCandidate, double fValue)
+ {
+ if(fValue != 0.0)
+ {
+ if(rCandidate.areControlPointsUsed())
+ {
+ // call myself recursively with subdivided input
+ const B2DPolygon aCandidate(adaptiveSubdivideByAngle(rCandidate));
+ return growInNormalDirection(aCandidate, fValue);
+ }
+ else
+ {
+ B2DPolygon aRetval;
+ const sal_uInt32 nPointCount(rCandidate.count());
+
+ if(nPointCount)
+ {
+ B2DPoint aPrev(rCandidate.getB2DPoint(nPointCount - 1));
+ B2DPoint aCurrent(rCandidate.getB2DPoint(0));
+
+ for(sal_uInt32 a(0); a < nPointCount; a++)
+ {
+ const B2DPoint aNext(rCandidate.getB2DPoint(a + 1 == nPointCount ? 0 : a + 1));
+ const B2DVector aBack(aPrev - aCurrent);
+ const B2DVector aForw(aNext - aCurrent);
+ const B2DVector aPerpBack(getNormalizedPerpendicular(aBack));
+ const B2DVector aPerpForw(getNormalizedPerpendicular(aForw));
+ B2DVector aDirection(aPerpBack - aPerpForw);
+ aDirection.normalize();
+ aDirection *= fValue;
+ aRetval.append(aCurrent + aDirection);
+
+ // prepare next step
+ aPrev = aCurrent;
+ aCurrent = aNext;
+ }
+ }
+
+ // copy closed state
+ aRetval.setClosed(rCandidate.isClosed());
+
+ return aRetval;
+ }
+ }
+ else
+ {
+ return rCandidate;
+ }
+ }
+
+ B2DPolygon reSegmentPolygon(const B2DPolygon& rCandidate, sal_uInt32 nSegments)
+ {
+ B2DPolygon aRetval;
+ const sal_uInt32 nPointCount(rCandidate.count());
+
+ if(nPointCount && nSegments)
+ {
+ // get current segment count
+ const sal_uInt32 nSegmentCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+
+ if(nSegmentCount == nSegments)
+ {
+ aRetval = rCandidate;
+ }
+ else
+ {
+ const double fLength(getLength(rCandidate));
+ const sal_uInt32 nLoopCount(rCandidate.isClosed() ? nSegments : nSegments + 1);
+
+ for(sal_uInt32 a(0); a < nLoopCount; a++)
+ {
+ const double fRelativePos(static_cast<double>(a) / static_cast<double>(nSegments)); // 0.0 .. 1.0
+ const B2DPoint aNewPoint(getPositionRelative(rCandidate, fRelativePos, fLength));
+ aRetval.append(aNewPoint);
+ }
+
+ // copy closed flag
+ aRetval.setClosed(rCandidate.isClosed());
+ }
+ }
+
+ return aRetval;
+ }
+
+ B2DPolygon interpolate(const B2DPolygon& rOld1, const B2DPolygon& rOld2, double t)
+ {
+ OSL_ENSURE(rOld1.count() == rOld2.count(), "B2DPolygon interpolate: Different geometry (!)");
+
+ if(fTools::lessOrEqual(t, 0.0) || rOld1 == rOld2)
+ {
+ return rOld1;
+ }
+ else if(fTools::moreOrEqual(t, 1.0))
+ {
+ return rOld2;
+ }
+ else
+ {
+ B2DPolygon aRetval;
+ const bool bInterpolateVectors(rOld1.areControlPointsUsed() || rOld2.areControlPointsUsed());
+ aRetval.setClosed(rOld1.isClosed() && rOld2.isClosed());
+
+ for(sal_uInt32 a(0); a < rOld1.count(); a++)
+ {
+ aRetval.append(interpolate(rOld1.getB2DPoint(a), rOld2.getB2DPoint(a), t));
+
+ if(bInterpolateVectors)
+ {
+ aRetval.setPrevControlPoint(a, interpolate(rOld1.getPrevControlPoint(a), rOld2.getPrevControlPoint(a), t));
+ aRetval.setNextControlPoint(a, interpolate(rOld1.getNextControlPoint(a), rOld2.getNextControlPoint(a), t));
+ }
+ }
+
+ return aRetval;
+ }
+ }
+
+ // #i76891#
+ B2DPolygon simplifyCurveSegments(const B2DPolygon& rCandidate)
+ {
+ const sal_uInt32 nPointCount(rCandidate.count());
+
+ if(nPointCount && rCandidate.areControlPointsUsed())
+ {
+ // prepare loop
+ const sal_uInt32 nEdgeCount(rCandidate.isClosed() ? nPointCount : nPointCount - 1);
+ B2DPolygon aRetval;
+ B2DCubicBezier aBezier;
+ aBezier.setStartPoint(rCandidate.getB2DPoint(0));
+
+ // try to avoid costly reallocations
+ aRetval.reserve( nEdgeCount+1);
+
+ // add start point
+ aRetval.append(aBezier.getStartPoint());
+
+ for(sal_uInt32 a(0); a < nEdgeCount; a++)
+ {
+ // get values for edge
+ const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+ aBezier.setEndPoint(rCandidate.getB2DPoint(nNextIndex));
+ aBezier.setControlPointA(rCandidate.getNextControlPoint(a));
+ aBezier.setControlPointB(rCandidate.getPrevControlPoint(nNextIndex));
+ aBezier.testAndSolveTrivialBezier();
+
+ // still bezier?
+ if(aBezier.isBezier())
+ {
+ // add edge with control vectors
+ aRetval.appendBezierSegment(aBezier.getControlPointA(), aBezier.getControlPointB(), aBezier.getEndPoint());
+ }
+ else
+ {
+ // add edge
+ aRetval.append(aBezier.getEndPoint());
+ }
+
+ // next point
+ aBezier.setStartPoint(aBezier.getEndPoint());
+ }
+
+ if(rCandidate.isClosed())
+ {
+ // set closed flag, rescue control point and correct last double point
+ closeWithGeometryChange(aRetval);
+ }
+
+ return aRetval;
+ }
+ else
+ {
+ return rCandidate;
+ }
+ }
+
+ // makes the given indexed point the new polygon start point. To do that, the points in the
+ // polygon will be rotated. This is only valid for closed polygons, for non-closed ones
+ // an assertion will be triggered
+ B2DPolygon makeStartPoint(const B2DPolygon& rCandidate, sal_uInt32 nIndexOfNewStatPoint)
+ {
+ const sal_uInt32 nPointCount(rCandidate.count());
+
+ if(nPointCount > 2 && nIndexOfNewStatPoint != 0 && nIndexOfNewStatPoint < nPointCount)
+ {
+ OSL_ENSURE(rCandidate.isClosed(), "makeStartPoint: only valid for closed polygons (!)");
+ B2DPolygon aRetval;
+
+ for(sal_uInt32 a(0); a < nPointCount; a++)
+ {
+ const sal_uInt32 nSourceIndex((a + nIndexOfNewStatPoint) % nPointCount);
+ aRetval.append(rCandidate.getB2DPoint(nSourceIndex));
+
+ if(rCandidate.areControlPointsUsed())
+ {
+ aRetval.setPrevControlPoint(a, rCandidate.getPrevControlPoint(nSourceIndex));
+ aRetval.setNextControlPoint(a, rCandidate.getNextControlPoint(nSourceIndex));
+ }
+ }
+
+ return aRetval;
+ }
+
+ return rCandidate;
+ }
+
+ B2DPolygon createEdgesOfGivenLength(const B2DPolygon& rCandidate, double fLength, double fStart, double fEnd)
+ {
+ B2DPolygon aRetval;
+
+ if(fLength < 0.0)
+ {
+ fLength = 0.0;
+ }
+
+ if(!fTools::equalZero(fLength))
+ {
+ if(fStart < 0.0)
+ {
+ fStart = 0.0;
+ }
+
+ if(fEnd < 0.0)
+ {
+ fEnd = 0.0;
+ }
+
+ if(fEnd < fStart)
+ {
+ fEnd = fStart;
+ }
+
+ // iterate and consume pieces with fLength. First subdivide to reduce input to line segments
+ const B2DPolygon aCandidate(rCandidate.areControlPointsUsed() ? rCandidate.getDefaultAdaptiveSubdivision() : rCandidate);
+ const sal_uInt32 nPointCount(aCandidate.count());
+
+ if(nPointCount > 1)
+ {
+ const bool bEndActive(!fTools::equalZero(fEnd));
+ const sal_uInt32 nEdgeCount(aCandidate.isClosed() ? nPointCount : nPointCount - 1);
+ B2DPoint aCurrent(aCandidate.getB2DPoint(0));
+ double fPositionInEdge(fStart);
+ double fAbsolutePosition(fStart);
+
+ for(sal_uInt32 a(0); a < nEdgeCount; a++)
+ {
+ const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+ const B2DPoint aNext(aCandidate.getB2DPoint(nNextIndex));
+ const B2DVector aEdge(aNext - aCurrent);
+ double fEdgeLength(aEdge.getLength());
+
+ if(!fTools::equalZero(fEdgeLength))
+ {
+ while(fTools::less(fPositionInEdge, fEdgeLength))
+ {
+ // move position on edge forward as long as on edge
+ const double fScalar(fPositionInEdge / fEdgeLength);
+ aRetval.append(aCurrent + (aEdge * fScalar));
+ fPositionInEdge += fLength;
+
+ if(bEndActive)
+ {
+ fAbsolutePosition += fLength;
+
+ if(fTools::more(fAbsolutePosition, fEnd))
+ {
+ break;
+ }
+ }
+ }
+
+ // subtract length of current edge
+ fPositionInEdge -= fEdgeLength;
+ }
+
+ if(bEndActive && fTools::more(fAbsolutePosition, fEnd))
+ {
+ break;
+ }
+
+ // prepare next step
+ aCurrent = aNext;
+ }
+
+ // keep closed state
+ aRetval.setClosed(aCandidate.isClosed());
+ }
+ else
+ {
+ // source polygon has only one point, return unchanged
+ aRetval = aCandidate;
+ }
+ }
+
+ return aRetval;
+ }
+
+ B2DPolygon createWaveline(const B2DPolygon& rCandidate, double fWaveWidth, double fWaveHeight)
+ {
+ B2DPolygon aRetval;
+
+ if(fWaveWidth < 0.0)
+ {
+ fWaveWidth = 0.0;
+ }
+
+ if(fWaveHeight < 0.0)
+ {
+ fWaveHeight = 0.0;
+ }
+
+ const bool bHasWidth(!fTools::equalZero(fWaveWidth));
+
+ if(bHasWidth)
+ {
+ const bool bHasHeight(!fTools::equalZero(fWaveHeight));
+ if(bHasHeight)
+ {
+ // width and height, create waveline. First subdivide to reduce input to line segments
+ // of WaveWidth. Last segment may be missing. If this turns out to be a problem, it
+ // may be added here again using the original last point from rCandidate. It may
+ // also be the case that rCandidate was closed. To simplify things it is handled here
+ // as if it was opened.
+ // Result from createEdgesOfGivenLength contains no curved segments, handle as straight
+ // edges.
+ const B2DPolygon aEqualLenghEdges(createEdgesOfGivenLength(rCandidate, fWaveWidth));
+ const sal_uInt32 nPointCount(aEqualLenghEdges.count());
+
+ if(nPointCount > 1)
+ {
+ // iterate over straight edges, add start point
+ B2DPoint aCurrent(aEqualLenghEdges.getB2DPoint(0));
+ aRetval.append(aCurrent);
+
+ for(sal_uInt32 a(0); a < nPointCount - 1; a++)
+ {
+ const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+ const B2DPoint aNext(aEqualLenghEdges.getB2DPoint(nNextIndex));
+ const B2DVector aEdge(aNext - aCurrent);
+ const B2DVector aPerpendicular(getNormalizedPerpendicular(aEdge));
+ const B2DVector aControlOffset((aEdge * 0.467308) - (aPerpendicular * fWaveHeight));
+
+ // add curve segment
+ aRetval.appendBezierSegment(
+ aCurrent + aControlOffset,
+ aNext - aControlOffset,
+ aNext);
+
+ // prepare next step
+ aCurrent = aNext;
+ }
+ }
+ }
+ else
+ {
+ // width but no height -> return original polygon
+ aRetval = rCandidate;
+ }
+ }
+ else
+ {
+ // no width -> no waveline, stay empty and return
+ }
+
+ return aRetval;
+ }
+
+ // snap points of horizontal or vertical edges to discrete values
+ B2DPolygon snapPointsOfHorizontalOrVerticalEdges(const B2DPolygon& rCandidate)
+ {
+ const sal_uInt32 nPointCount(rCandidate.count());
+
+ if(nPointCount > 1)
+ {
+ // Start by copying the source polygon to get a writeable copy. The closed state is
+ // copied by aRetval's initialisation, too, so no need to copy it in this method
+ B2DPolygon aRetval(rCandidate);
+
+ // prepare geometry data. Get rounded from original
+ B2ITuple aPrevTuple(basegfx::fround(rCandidate.getB2DPoint(nPointCount - 1)));
+ B2DPoint aCurrPoint(rCandidate.getB2DPoint(0));
+ B2ITuple aCurrTuple(basegfx::fround(aCurrPoint));
+
+ // loop over all points. This will also snap the implicit closing edge
+ // even when not closed, but that's no problem here
+ for(sal_uInt32 a(0); a < nPointCount; a++)
+ {
+ // get next point. Get rounded from original
+ const bool bLastRun(a + 1 == nPointCount);
+ const sal_uInt32 nNextIndex(bLastRun ? 0 : a + 1);
+ const B2DPoint aNextPoint(rCandidate.getB2DPoint(nNextIndex));
+ const B2ITuple aNextTuple(basegfx::fround(aNextPoint));
+
+ // get the states
+ const bool bPrevVertical(aPrevTuple.getX() == aCurrTuple.getX());
+ const bool bNextVertical(aNextTuple.getX() == aCurrTuple.getX());
+ const bool bPrevHorizontal(aPrevTuple.getY() == aCurrTuple.getY());
+ const bool bNextHorizontal(aNextTuple.getY() == aCurrTuple.getY());
+ const bool bSnapX(bPrevVertical || bNextVertical);
+ const bool bSnapY(bPrevHorizontal || bNextHorizontal);
+
+ if(bSnapX || bSnapY)
+ {
+ const B2DPoint aSnappedPoint(
+ bSnapX ? aCurrTuple.getX() : aCurrPoint.getX(),
+ bSnapY ? aCurrTuple.getY() : aCurrPoint.getY());
+
+ aRetval.setB2DPoint(a, aSnappedPoint);
+ }
+
+ // prepare next point
+ if(!bLastRun)
+ {
+ aPrevTuple = aCurrTuple;
+ aCurrPoint = aNextPoint;
+ aCurrTuple = aNextTuple;
+ }
+ }
+
+ return aRetval;
+ }
+ else
+ {
+ return rCandidate;
+ }
+ }
+
+ B2DVector getTangentEnteringPoint(const B2DPolygon& rCandidate, sal_uInt32 nIndex)
+ {
+ B2DVector aRetval(0.0, 0.0);
+ const sal_uInt32 nCount(rCandidate.count());
+
+ if(nIndex >= nCount)
+ {
+ // out of range
+ return aRetval;
+ }
+
+ // start immediately at prev point compared to nIndex
+ const bool bClosed(rCandidate.isClosed());
+ sal_uInt32 nPrev(bClosed ? (nIndex + nCount - 1) % nCount : nIndex ? nIndex - 1 : nIndex);
+
+ if(nPrev == nIndex)
+ {
+ // no previous, done
+ return aRetval;
+ }
+
+ B2DCubicBezier aSegment;
+
+ // go backward in the polygon; if closed, maximal back to start index (nIndex); if not closed,
+ // until zero. Use nIndex as stop criteria
+ while(nPrev != nIndex)
+ {
+ // get BezierSegment and tangent at the *end* of segment
+ rCandidate.getBezierSegment(nPrev, aSegment);
+ aRetval = aSegment.getTangent(1.0);
+
+ if(!aRetval.equalZero())
+ {
+ // if we have a tangent, return it
+ return aRetval;
+ }
+
+ // prepare index before checked one
+ nPrev = bClosed ? (nPrev + nCount - 1) % nCount : nPrev ? nPrev - 1 : nIndex;
+ }
+
+ return aRetval;
+ }
+
+ B2DVector getTangentLeavingPoint(const B2DPolygon& rCandidate, sal_uInt32 nIndex)
+ {
+ B2DVector aRetval(0.0, 0.0);
+ const sal_uInt32 nCount(rCandidate.count());
+
+ if(nIndex >= nCount)
+ {
+ // out of range
+ return aRetval;
+ }
+
+ // start at nIndex
+ const bool bClosed(rCandidate.isClosed());
+ sal_uInt32 nCurrent(nIndex);
+ B2DCubicBezier aSegment;
+
+ // go forward; if closed, do this until once around and back at start index (nIndex); if not
+ // closed, until last point (nCount - 1). Use nIndex as stop criteria
+ do
+ {
+ // get BezierSegment and tangent at the *beginning* of segment
+ rCandidate.getBezierSegment(nCurrent, aSegment);
+ aRetval = aSegment.getTangent(0.0);
+
+ if(!aRetval.equalZero())
+ {
+ // if we have a tangent, return it
+ return aRetval;
+ }
+
+ // prepare next index
+ nCurrent = bClosed ? (nCurrent + 1) % nCount : nCurrent + 1 < nCount ? nCurrent + 1 : nIndex;
+ }
+ while(nCurrent != nIndex);
+
+ return aRetval;
+ }
+
+ // converters for css::drawing::PointSequence
+
+ B2DPolygon UnoPointSequenceToB2DPolygon(
+ const css::drawing::PointSequence& rPointSequenceSource)
+ {
+ B2DPolygon aRetval;
+ const sal_uInt32 nLength(rPointSequenceSource.getLength());
+
+ if(nLength)
+ {
+ aRetval.reserve(nLength);
+ const css::awt::Point* pArray = rPointSequenceSource.getConstArray();
+ const css::awt::Point* pArrayEnd = pArray + rPointSequenceSource.getLength();
+
+ for(;pArray != pArrayEnd; pArray++)
+ {
+ aRetval.append(B2DPoint(pArray->X, pArray->Y));
+ }
+
+ // check for closed state flag
+ utils::checkClosed(aRetval);
+ }
+
+ return aRetval;
+ }
+
+ void B2DPolygonToUnoPointSequence(
+ const B2DPolygon& rPolygon,
+ css::drawing::PointSequence& rPointSequenceRetval)
+ {
+ B2DPolygon aPolygon(rPolygon);
+
+ if(aPolygon.areControlPointsUsed())
+ {
+ OSL_ENSURE(false, "B2DPolygonToUnoPointSequence: Source contains bezier segments, wrong UNO API data type may be used (!)");
+ aPolygon = aPolygon.getDefaultAdaptiveSubdivision();
+ }
+
+ const sal_uInt32 nPointCount(aPolygon.count());
+
+ if(nPointCount)
+ {
+ // Take closed state into account, the API polygon still uses the old closed definition
+ // with last/first point are identical (cannot hold information about open polygons with identical
+ // first and last point, though)
+ const bool bIsClosed(aPolygon.isClosed());
+
+ rPointSequenceRetval.realloc(bIsClosed ? nPointCount + 1 : nPointCount);
+ css::awt::Point* pSequence = rPointSequenceRetval.getArray();
+
+ for(sal_uInt32 b(0); b < nPointCount; b++)
+ {
+ const B2DPoint aPoint(aPolygon.getB2DPoint(b));
+ const css::awt::Point aAPIPoint(fround(aPoint.getX()), fround(aPoint.getY()));
+
+ *pSequence = aAPIPoint;
+ pSequence++;
+ }
+
+ // copy first point if closed
+ if(bIsClosed)
+ {
+ *pSequence = *rPointSequenceRetval.getArray();
+ }
+ }
+ else
+ {
+ rPointSequenceRetval.realloc(0);
+ }
+ }
+
+ // converters for css::drawing::PointSequence and
+ // css::drawing::FlagSequence to B2DPolygon (curved polygons)
+
+ B2DPolygon UnoPolygonBezierCoordsToB2DPolygon(
+ const css::drawing::PointSequence& rPointSequenceSource,
+ const css::drawing::FlagSequence& rFlagSequenceSource)
+ {
+ const sal_uInt32 nCount(static_cast<sal_uInt32>(rPointSequenceSource.getLength()));
+ OSL_ENSURE(nCount == static_cast<sal_uInt32>(rFlagSequenceSource.getLength()),
+ "UnoPolygonBezierCoordsToB2DPolygon: Unequal count of Points and Flags (!)");
+
+ // prepare new polygon
+ B2DPolygon aRetval;
+
+ if(0 != nCount)
+ {
+ const css::awt::Point* pPointSequence = rPointSequenceSource.getConstArray();
+ const css::drawing::PolygonFlags* pFlagSequence = rFlagSequenceSource.getConstArray();
+
+ // get first point and flag
+ B2DPoint aNewCoordinatePair(pPointSequence->X, pPointSequence->Y); pPointSequence++;
+ css::drawing::PolygonFlags ePolygonFlag(*pFlagSequence); pFlagSequence++;
+ B2DPoint aControlA;
+ B2DPoint aControlB;
+
+ // first point is not allowed to be a control point
+ OSL_ENSURE(ePolygonFlag != css::drawing::PolygonFlags_CONTROL,
+ "UnoPolygonBezierCoordsToB2DPolygon: Start point is a control point, illegal input polygon (!)");
+
+ // add first point as start point
+ aRetval.append(aNewCoordinatePair);
+
+ for(sal_uInt32 b(1); b < nCount;)
+ {
+ // prepare loop
+ bool bControlA(false);
+ bool bControlB(false);
+
+ // get next point and flag
+ aNewCoordinatePair = B2DPoint(pPointSequence->X, pPointSequence->Y);
+ ePolygonFlag = *pFlagSequence;
+ pPointSequence++; pFlagSequence++; b++;
+
+ if(b < nCount && ePolygonFlag == css::drawing::PolygonFlags_CONTROL)
+ {
+ aControlA = aNewCoordinatePair;
+ bControlA = true;
+
+ // get next point and flag
+ aNewCoordinatePair = B2DPoint(pPointSequence->X, pPointSequence->Y);
+ ePolygonFlag = *pFlagSequence;
+ pPointSequence++; pFlagSequence++; b++;
+ }
+
+ if(b < nCount && ePolygonFlag == css::drawing::PolygonFlags_CONTROL)
+ {
+ aControlB = aNewCoordinatePair;
+ bControlB = true;
+
+ // get next point and flag
+ aNewCoordinatePair = B2DPoint(pPointSequence->X, pPointSequence->Y);
+ ePolygonFlag = *pFlagSequence;
+ pPointSequence++; pFlagSequence++; b++;
+ }
+
+ // two or no control points are consumed, another one would be an error.
+ // It's also an error if only one control point was read
+ SAL_WARN_IF(ePolygonFlag == css::drawing::PolygonFlags_CONTROL || bControlA != bControlB,
+ "basegfx", "UnoPolygonBezierCoordsToB2DPolygon: Illegal source polygon (!)");
+
+ // the previous writes used the B2DPolyPoygon -> utils::PolyPolygon converter
+ // which did not create minimal PolyPolygons, but created all control points
+ // as null vectors (identical points). Because of the former P(CA)(CB)-norm of
+ // B2DPolygon and it's unused sign of being the zero-vector and CA and CB being
+ // relative to P, an empty edge was exported as P == CA == CB. Luckily, the new
+ // export format can be read without errors by the old OOo-versions, so we need only
+ // to correct here at read and do not need to export a wrong but compatible version
+ // for the future.
+ if(bControlA
+ && aControlA.equal(aControlB)
+ && aControlA.equal(aRetval.getB2DPoint(aRetval.count() - 1)))
+ {
+ bControlA = false;
+ }
+
+ if(bControlA)
+ {
+ // add bezier edge
+ aRetval.appendBezierSegment(aControlA, aControlB, aNewCoordinatePair);
+ }
+ else
+ {
+ // add edge
+ aRetval.append(aNewCoordinatePair);
+ }
+ }
+
+ // #i72807# API import uses old line start/end-equal definition for closed,
+ // so we need to correct this to closed state here
+ checkClosed(aRetval);
+ }
+
+ return aRetval;
+ }
+
+ void B2DPolygonToUnoPolygonBezierCoords(
+ const B2DPolygon& rPolygon,
+ css::drawing::PointSequence& rPointSequenceRetval,
+ css::drawing::FlagSequence& rFlagSequenceRetval)
+ {
+ const sal_uInt32 nPointCount(rPolygon.count());
+
+ if(nPointCount)
+ {
+ const bool bCurve(rPolygon.areControlPointsUsed());
+ const bool bClosed(rPolygon.isClosed());
+
+ if(bCurve)
+ {
+ // calculate target point count
+ const sal_uInt32 nLoopCount(bClosed ? nPointCount : nPointCount - 1);
+
+ if(nLoopCount)
+ {
+ // prepare target data. The real needed number of target points (and flags)
+ // could only be calculated by using two loops, so use dynamic memory
+ std::vector< css::awt::Point > aCollectPoints;
+ std::vector< css::drawing::PolygonFlags > aCollectFlags;
+
+ // reserve maximum creatable points
+ const sal_uInt32 nMaxTargetCount((nLoopCount * 3) + 1);
+ aCollectPoints.reserve(nMaxTargetCount);
+ aCollectFlags.reserve(nMaxTargetCount);
+
+ // prepare current bezier segment by setting start point
+ B2DCubicBezier aBezierSegment;
+ aBezierSegment.setStartPoint(rPolygon.getB2DPoint(0));
+
+ for(sal_uInt32 a(0); a < nLoopCount; a++)
+ {
+ // add current point (always) and remember StartPointIndex for evtl. later corrections
+ const sal_uInt32 nStartPointIndex(aCollectPoints.size());
+ aCollectPoints.emplace_back(
+ fround(aBezierSegment.getStartPoint().getX()),
+ fround(aBezierSegment.getStartPoint().getY()));
+ aCollectFlags.push_back(css::drawing::PolygonFlags_NORMAL);
+
+ // prepare next segment
+ const sal_uInt32 nNextIndex((a + 1) % nPointCount);
+ aBezierSegment.setEndPoint(rPolygon.getB2DPoint(nNextIndex));
+ aBezierSegment.setControlPointA(rPolygon.getNextControlPoint(a));
+ aBezierSegment.setControlPointB(rPolygon.getPrevControlPoint(nNextIndex));
+
+ if(aBezierSegment.isBezier())
+ {
+ // if bezier is used, add always two control points due to the old schema
+ aCollectPoints.emplace_back(
+ fround(aBezierSegment.getControlPointA().getX()),
+ fround(aBezierSegment.getControlPointA().getY()));
+ aCollectFlags.push_back(css::drawing::PolygonFlags_CONTROL);
+
+ aCollectPoints.emplace_back(
+ fround(aBezierSegment.getControlPointB().getX()),
+ fround(aBezierSegment.getControlPointB().getY()));
+ aCollectFlags.push_back(css::drawing::PolygonFlags_CONTROL);
+ }
+
+ // test continuity with previous control point to set flag value
+ if(aBezierSegment.getControlPointA() != aBezierSegment.getStartPoint() && (bClosed || a))
+ {
+ const B2VectorContinuity eCont(rPolygon.getContinuityInPoint(a));
+
+ if(eCont == B2VectorContinuity::C1)
+ {
+ aCollectFlags[nStartPointIndex] = css::drawing::PolygonFlags_SMOOTH;
+ }
+ else if(eCont == B2VectorContinuity::C2)
+ {
+ aCollectFlags[nStartPointIndex] = css::drawing::PolygonFlags_SYMMETRIC;
+ }
+ }
+
+ // prepare next loop
+ aBezierSegment.setStartPoint(aBezierSegment.getEndPoint());
+ }
+
+ if(bClosed)
+ {
+ // add first point again as closing point due to old definition
+ aCollectPoints.push_back(aCollectPoints[0]);
+ aCollectFlags.push_back(css::drawing::PolygonFlags_NORMAL);
+ }
+ else
+ {
+ // add last point as closing point
+ const B2DPoint aClosingPoint(rPolygon.getB2DPoint(nPointCount - 1));
+ aCollectPoints.emplace_back(
+ fround(aClosingPoint.getX()),
+ fround(aClosingPoint.getY()));
+ aCollectFlags.push_back(css::drawing::PolygonFlags_NORMAL);
+ }
+
+ // copy collected data to target arrays
+ const sal_uInt32 nTargetCount(aCollectPoints.size());
+ OSL_ENSURE(nTargetCount == aCollectFlags.size(), "Unequal Point and Flag count (!)");
+
+ rPointSequenceRetval.realloc(static_cast<sal_Int32>(nTargetCount));
+ rFlagSequenceRetval.realloc(static_cast<sal_Int32>(nTargetCount));
+ css::awt::Point* pPointSequence = rPointSequenceRetval.getArray();
+ css::drawing::PolygonFlags* pFlagSequence = rFlagSequenceRetval.getArray();
+
+ for(sal_uInt32 a(0); a < nTargetCount; a++)
+ {
+ *pPointSequence = aCollectPoints[a];
+ *pFlagSequence = aCollectFlags[a];
+ pPointSequence++;
+ pFlagSequence++;
+ }
+ }
+ }
+ else
+ {
+ // straightforward point list creation
+ const sal_uInt32 nTargetCount(nPointCount + (bClosed ? 1 : 0));
+
+ rPointSequenceRetval.realloc(static_cast<sal_Int32>(nTargetCount));
+ rFlagSequenceRetval.realloc(static_cast<sal_Int32>(nTargetCount));
+
+ css::awt::Point* pPointSequence = rPointSequenceRetval.getArray();
+ css::drawing::PolygonFlags* pFlagSequence = rFlagSequenceRetval.getArray();
+
+ for(sal_uInt32 a(0); a < nPointCount; a++)
+ {
+ const B2DPoint aB2DPoint(rPolygon.getB2DPoint(a));
+ const css::awt::Point aAPIPoint(
+ fround(aB2DPoint.getX()),
+ fround(aB2DPoint.getY()));
+
+ *pPointSequence = aAPIPoint;
+ *pFlagSequence = css::drawing::PolygonFlags_NORMAL;
+ pPointSequence++;
+ pFlagSequence++;
+ }
+
+ if(bClosed)
+ {
+ // add first point as closing point
+ *pPointSequence = *rPointSequenceRetval.getConstArray();
+ *pFlagSequence = css::drawing::PolygonFlags_NORMAL;
+ }
+ }
+ }
+ else
+ {
+ rPointSequenceRetval.realloc(0);
+ rFlagSequenceRetval.realloc(0);
+ }
+ }
+
+} // end of namespace
+
+/* vim:set shiftwidth=4 softtabstop=4 expandtab: */
generated by cgit v1.2.3 (git 2.39.1) at 2024-11-26 20:16:32 +0000